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Finding the Third Proportional to 237,982 and 517,436

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Solution

The third proportional to 237,982 and 517,436 is: 1,125,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,982 : 517,436 = 517,436 : x
  2. Step 2: Convert to fraction form
    237,982/517,436 = 517,436/x
  3. Step 3: Cross multiply
    237,982x = 517,436 × 517,436
  4. Step 4: Simplify right side
    237,982x = 267,740,014,096
  5. Step 5: Solve for x
    x = 267,740,014,096/237,982
  6. Step 6: Final answer
    x = 1,125,043.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.