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Finding the Third Proportional to 243,872 and 532,432

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Solution

The third proportional to 243,872 and 532,432 is: 1,162,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,872 : 532,432 = 532,432 : x
  2. Step 2: Convert to fraction form
    243,872/532,432 = 532,432/x
  3. Step 3: Cross multiply
    243,872x = 532,432 × 532,432
  4. Step 4: Simplify right side
    243,872x = 283,483,834,624
  5. Step 5: Solve for x
    x = 283,483,834,624/243,872
  6. Step 6: Final answer
    x = 1,162,428.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.