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Finding the Third Proportional to 267,060 and 415,908

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Solution

The third proportional to 267,060 and 415,908 is: 647,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,060 : 415,908 = 415,908 : x
  2. Step 2: Convert to fraction form
    267,060/415,908 = 415,908/x
  3. Step 3: Cross multiply
    267,060x = 415,908 × 415,908
  4. Step 4: Simplify right side
    267,060x = 172,979,464,464
  5. Step 5: Solve for x
    x = 172,979,464,464/267,060
  6. Step 6: Final answer
    x = 647,717.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.