Find the largest possible 3-digit positive integer \(N\) such that \(N^2\) is of the form \(ABC, ABD\), where \(A\), \(B\), \(C\), and \(D\) are (not necessarily distinct) digits and \(D = C+1\).

(An example of a number of this form is 123,124 or 998,999.)

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