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Finding the Third Proportional to 267,074 and 541,524

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Solution

The third proportional to 267,074 and 541,524 is: 1,098,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,074 : 541,524 = 541,524 : x
  2. Step 2: Convert to fraction form
    267,074/541,524 = 541,524/x
  3. Step 3: Cross multiply
    267,074x = 541,524 × 541,524
  4. Step 4: Simplify right side
    267,074x = 293,248,242,576
  5. Step 5: Solve for x
    x = 293,248,242,576/267,074
  6. Step 6: Final answer
    x = 1,098,003.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.