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Finding the Third Proportional to 243,874 and 532,436

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Solution

The third proportional to 243,874 and 532,436 is: 1,162,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,874 : 532,436 = 532,436 : x
  2. Step 2: Convert to fraction form
    243,874/532,436 = 532,436/x
  3. Step 3: Cross multiply
    243,874x = 532,436 × 532,436
  4. Step 4: Simplify right side
    243,874x = 283,488,094,096
  5. Step 5: Solve for x
    x = 283,488,094,096/243,874
  6. Step 6: Final answer
    x = 1,162,436.73

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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.