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Finding the Third Proportional to 267,970,681 and 580,459,386

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Solution

The third proportional to 267,970,681 and 580,459,386 is: 1,257,350,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,970,681 : 580,459,386 = 580,459,386 : x
  2. Step 2: Convert to fraction form
    267,970,681/580,459,386 = 580,459,386/x
  3. Step 3: Cross multiply
    267,970,681x = 580,459,386 × 580,459,386
  4. Step 4: Simplify right side
    267,970,681x = 336,933,098,795,497,024
  5. Step 5: Solve for x
    x = 336,933,098,795,497,024/267,970,681
  6. Step 6: Final answer
    x = 1,257,350,608.43

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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.