Finding the Third Proportional to 508,710 and 809,769
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Solution
The third proportional to 508,710 and 809,769 is: 1,288,997.33
Step by Step Solution
- Step 1: Write the proportion equation
508,710 : 809,769 = 809,769 : x - Step 2: Convert to fraction form
508,710/809,769 = 809,769/x - Step 3: Cross multiply
508,710x = 809,769 × 809,769 - Step 4: Simplify right side
508,710x = 655,725,833,361 - Step 5: Solve for x
x = 655,725,833,361/508,710 - Step 6: Final answer
x = 1,288,997.33
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.