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I bet those values are US survey feet, and based on the document, also on NAD 1927, not NAD 1983. The app you're using is using the NAD 1983 definitions of the State Plane zones. The parameters are different, so you're not going to be able to convert NAD 1927 coordinates using it. If I convert the given values (cropping to integers) using the NAD 1927 ...

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