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Finding the Third Proportional to 267,418 and 587,317

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Solution

The third proportional to 267,418 and 587,317 is: 1,289,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,418 : 587,317 = 587,317 : x
  2. Step 2: Convert to fraction form
    267,418/587,317 = 587,317/x
  3. Step 3: Cross multiply
    267,418x = 587,317 × 587,317
  4. Step 4: Simplify right side
    267,418x = 344,941,258,489
  5. Step 5: Solve for x
    x = 344,941,258,489/267,418
  6. Step 6: Final answer
    x = 1,289,895.44

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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.