Finding the Third Proportional to 256,502 and 565,561
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Solution
The third proportional to 256,502 and 565,561 is: 1,247,004.88
Step by Step Solution
- Step 1: Write the proportion equation
256,502 : 565,561 = 565,561 : x - Step 2: Convert to fraction form
256,502/565,561 = 565,561/x - Step 3: Cross multiply
256,502x = 565,561 × 565,561 - Step 4: Simplify right side
256,502x = 319,859,244,721 - Step 5: Solve for x
x = 319,859,244,721/256,502 - Step 6: Final answer
x = 1,247,004.88
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.