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Finding the Third Proportional to 267,477 and 396,792

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Solution

The third proportional to 267,477 and 396,792 is: 588,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,477 : 396,792 = 396,792 : x
  2. Step 2: Convert to fraction form
    267,477/396,792 = 396,792/x
  3. Step 3: Cross multiply
    267,477x = 396,792 × 396,792
  4. Step 4: Simplify right side
    267,477x = 157,443,891,264
  5. Step 5: Solve for x
    x = 157,443,891,264/267,477
  6. Step 6: Final answer
    x = 588,625.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.