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Finding the Third Proportional to 450,027,423 and 676,239,327

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Solution

The third proportional to 450,027,423 and 676,239,327 is: 1,016,159,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,027,423 : 676,239,327 = 676,239,327 : x
  2. Step 2: Convert to fraction form
    450,027,423/676,239,327 = 676,239,327/x
  3. Step 3: Cross multiply
    450,027,423x = 676,239,327 × 676,239,327
  4. Step 4: Simplify right side
    450,027,423x = 457,299,627,381,412,928
  5. Step 5: Solve for x
    x = 457,299,627,381,412,928/450,027,423
  6. Step 6: Final answer
    x = 1,016,159,469.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.