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There is something still missing. I must have not noticed before responding to your answer in my last message.  Although you gave me a good understanding of the issue.  I am now still questioning on how the brand name which we are also trying to get ranked for will fall in play.  Keep in mind "Alex Miley" was also a keyword.  Based On what your showing me in  the example to Avoid would leave the keyword "Alex Miley" at the same amount of strength between the 2 pages.  I'm am still left at the stage of how can I make sure that the broader keyword Alex Miley will get all the juice going to only 1 of the pages.

Great job! You understood my question and gave me a great example.  I want to extend the question to one additional thing.  If I don't absolutely have to do it this way, what other option do I have.  Originally I though of having one page for all those keywords.  What's your stance or method on this.  Either way you have given me the best information on this question and I will mark it as my best answer.   Thank You

Actually, I don't feel comfortable trying to rank one keyword for both pages either.  I would rather make sure absolutely, positively that Alex Miley & Alex Miley Cameras ranks for 1 page while Alex Miley Cell Phones ranks for the other.  Again, I am trying to do this without confusing Google and causing to bounce back and forth or having Google make that decision for me.  I would rather have a strategy in place to where Google will give the each page complete juice for the keywords I want them to rank for. Is there anything I can do to the Meta or On Page to solve this?

I have run into a situation where a website has 2 pages for different variations of a keyword.  I personally like to use 1 page and make it powerful for a variety of variations of that keyword.  Unfortunately for the site I’m working on, using only one page is not an option.  Here is an example:  They have a page for “Alex Miley Cameras” and then they have a page for “Alex Miley Cell Phones”.  On the first one they want to rank for Alex Miley & Alex Miley Cameras.  For the 2^nd they want to rank for “Alex Miley Cell Phones”.  My concern is will Google be indecisive on which page to rank for the keyword “Alex Miley” since they both contain this word.  Also, will it affect any of the other words and spread the juice making each page weaker.   I would appreciate advice on how to rank these pages each separately for their keywords and not have to worry about any confusion from Google.  I can’t change the structure of the site.  I only have access to the Meta info and page content.  Thank you for your help