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Finding the Third Proportional to 267,481 and 396,798

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Solution

The third proportional to 267,481 and 396,798 is: 588,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,481 : 396,798 = 396,798 : x
  2. Step 2: Convert to fraction form
    267,481/396,798 = 396,798/x
  3. Step 3: Cross multiply
    267,481x = 396,798 × 396,798
  4. Step 4: Simplify right side
    267,481x = 157,448,652,804
  5. Step 5: Solve for x
    x = 157,448,652,804/267,481
  6. Step 6: Final answer
    x = 588,634.90

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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.