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Finding the Third Proportional to 272,427,304 and 422,995,452

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Solution

The third proportional to 272,427,304 and 422,995,452 is: 656,781,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,427,304 : 422,995,452 = 422,995,452 : x
  2. Step 2: Convert to fraction form
    272,427,304/422,995,452 = 422,995,452/x
  3. Step 3: Cross multiply
    272,427,304x = 422,995,452 × 422,995,452
  4. Step 4: Simplify right side
    272,427,304x = 178,925,152,412,684,288
  5. Step 5: Solve for x
    x = 178,925,152,412,684,288/272,427,304
  6. Step 6: Final answer
    x = 656,781,276.27

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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.