$5+1 Was this push correct?

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My (probably flawed) line of thinking went something like this:

With JJ I wanted to make more than 225 chips.

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With one limper already in, there's 375 out there for the taking, so I'm pushing because a solid raise to 700ish is over a third of my stack. Without the limper, I'm raising to 500ish and calling one push.