Project Euler : Multiplicative Palindrome Number

I am currently stuck at the problem of finding the largest palindrome number formed by the multiplication of two 3 digit numbers. I am not able to think of any solution other than the brute force method.

I have been googling around a bit in between work to find some theory for this. One that I found says this:

If you have a number say abc, and if it satisfies the following inequality

a^2 + b^2 + c^2 < 10

then the product of the two numbers abc and cba will be a palindrome. For example,

221 x 122 = 26962

But this way we cannot find the largest palindromic product.

I need to look more.

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