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Finding the Third Proportional to 323,432 and 491,676

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Solution

The third proportional to 323,432 and 491,676 is: 747,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,432 : 491,676 = 491,676 : x
  2. Step 2: Convert to fraction form
    323,432/491,676 = 491,676/x
  3. Step 3: Cross multiply
    323,432x = 491,676 × 491,676
  4. Step 4: Simplify right side
    323,432x = 241,745,288,976
  5. Step 5: Solve for x
    x = 241,745,288,976/323,432
  6. Step 6: Final answer
    x = 747,437.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.