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Finding the Third Proportional to 267,102 and 586,691

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Solution

The third proportional to 267,102 and 586,691 is: 1,288,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,102 : 586,691 = 586,691 : x
  2. Step 2: Convert to fraction form
    267,102/586,691 = 586,691/x
  3. Step 3: Cross multiply
    267,102x = 586,691 × 586,691
  4. Step 4: Simplify right side
    267,102x = 344,206,329,481
  5. Step 5: Solve for x
    x = 344,206,329,481/267,102
  6. Step 6: Final answer
    x = 1,288,669.98

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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.