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Default Sumproduct to count between two dates

Using Excel 2003 there are dates in F3:F19 and procedures, such as THR, in
G3:G19 on the sheet East 2010. On a second sheet in the workbook I need to
count the number of 7 different procedures for each quarter. Based on
feedback found in other questions I have come up with this formula:
=SUMPRODUCT((('East 2010'!$G$3:$G$19="THR")*'East
2010'!$F$3:$F$19=DATE(2010,4,1)*'East 2010'!$F$3:$F$19<=DATE(2010,6,30))). I
have tried different variations but am missing something as it is not
function properly.
 
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