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Finding the Third Proportional to 352,474 and 567,408

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Solution

The third proportional to 352,474 and 567,408 is: 913,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,474 : 567,408 = 567,408 : x
  2. Step 2: Convert to fraction form
    352,474/567,408 = 567,408/x
  3. Step 3: Cross multiply
    352,474x = 567,408 × 567,408
  4. Step 4: Simplify right side
    352,474x = 321,951,838,464
  5. Step 5: Solve for x
    x = 321,951,838,464/352,474
  6. Step 6: Final answer
    x = 913,405.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.