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Convert Latitude/Longitude values to x,y on a map

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6.2
Hi, desperate for some help.
I need to place red dots on a map of the United States. The dots represent the locations of several companies, universities and cities on a map of the U.S. We're using Macromedia Flash to display the map and plot the dots. Obviously we can do this manually using an external file, but long story short this data is kept in a database and will change frequently and without warning.

I only have the the latitude and longitude of these universities/companies/cities. I need to convert the latitude/longitude to x,y coordinates on the map. Once I have the x,y plotting them on the map is simple.

I have a map I obtained from http://nationalatlas.gov/natlas/ so I trust it's accuracy. I know the longitude/latitude of the 4 corners of this map. I have been playing with various formulas to no avail. I'm close, but I'm not close enough.

http://www.graphiteproductions.com/mapping/flash/map.php

Much thanks.
Jennifer.
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