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Finding the Third Proportional to 261,567 and 564,966

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Solution

The third proportional to 261,567 and 564,966 is: 1,220,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,567 : 564,966 = 564,966 : x
  2. Step 2: Convert to fraction form
    261,567/564,966 = 564,966/x
  3. Step 3: Cross multiply
    261,567x = 564,966 × 564,966
  4. Step 4: Simplify right side
    261,567x = 319,186,581,156
  5. Step 5: Solve for x
    x = 319,186,581,156/261,567
  6. Step 6: Final answer
    x = 1,220,286.13

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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.