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Finding the Third Proportional to 267,650 and 400,587

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Solution

The third proportional to 267,650 and 400,587 is: 599,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,650 : 400,587 = 400,587 : x
  2. Step 2: Convert to fraction form
    267,650/400,587 = 400,587/x
  3. Step 3: Cross multiply
    267,650x = 400,587 × 400,587
  4. Step 4: Simplify right side
    267,650x = 160,469,944,569
  5. Step 5: Solve for x
    x = 160,469,944,569/267,650
  6. Step 6: Final answer
    x = 599,551.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.