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Finding the Third Proportional to 187,552 and 442,463

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Solution

The third proportional to 187,552 and 442,463 is: 1,043,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,552 : 442,463 = 442,463 : x
  2. Step 2: Convert to fraction form
    187,552/442,463 = 442,463/x
  3. Step 3: Cross multiply
    187,552x = 442,463 × 442,463
  4. Step 4: Simplify right side
    187,552x = 195,773,506,369
  5. Step 5: Solve for x
    x = 195,773,506,369/187,552
  6. Step 6: Final answer
    x = 1,043,835.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.