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Finding the Third Proportional to 267,449 and 587,602

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Solution

The third proportional to 267,449 and 587,602 is: 1,290,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,449 : 587,602 = 587,602 : x
  2. Step 2: Convert to fraction form
    267,449/587,602 = 587,602/x
  3. Step 3: Cross multiply
    267,449x = 587,602 × 587,602
  4. Step 4: Simplify right side
    267,449x = 345,276,110,404
  5. Step 5: Solve for x
    x = 345,276,110,404/267,449
  6. Step 6: Final answer
    x = 1,290,997.95

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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.