Finding the Third Proportional to 538,284 and 797,002
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Solution
The third proportional to 538,284 and 797,002 is: 1,180,068.86
Step by Step Solution
- Step 1: Write the proportion equation
538,284 : 797,002 = 797,002 : x - Step 2: Convert to fraction form
538,284/797,002 = 797,002/x - Step 3: Cross multiply
538,284x = 797,002 × 797,002 - Step 4: Simplify right side
538,284x = 635,212,188,004 - Step 5: Solve for x
x = 635,212,188,004/538,284 - Step 6: Final answer
x = 1,180,068.86
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.