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Finding the Third Proportional to 267,482 and 415,506

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Solution

The third proportional to 267,482 and 415,506 is: 645,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,482 : 415,506 = 415,506 : x
  2. Step 2: Convert to fraction form
    267,482/415,506 = 415,506/x
  3. Step 3: Cross multiply
    267,482x = 415,506 × 415,506
  4. Step 4: Simplify right side
    267,482x = 172,645,236,036
  5. Step 5: Solve for x
    x = 172,645,236,036/267,482
  6. Step 6: Final answer
    x = 645,446.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.