Finding the Third Proportional to 261,641 and 565,106
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Solution
The third proportional to 261,641 and 565,106 is: 1,220,545.68
Step by Step Solution
- Step 1: Write the proportion equation
261,641 : 565,106 = 565,106 : x - Step 2: Convert to fraction form
261,641/565,106 = 565,106/x - Step 3: Cross multiply
261,641x = 565,106 × 565,106 - Step 4: Simplify right side
261,641x = 319,344,791,236 - Step 5: Solve for x
x = 319,344,791,236/261,641 - Step 6: Final answer
x = 1,220,545.68
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.