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Finding the Third Proportional to 267,497,763.25 and 376,695,796.88

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Solution

The third proportional to 267,497,763.25 and 376,695,796.88 is: 530,470,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,497,763.25 : 376,695,796.88 = 376,695,796.88 : x
  2. Step 2: Convert to fraction form
    267,497,763.25/376,695,796.88 = 376,695,796.88/x
  3. Step 3: Cross multiply
    267,497,763.25x = 376,695,796.88 × 376,695,796.88
  4. Step 4: Simplify right side
    267,497,763.25x = 141,899,723,383,291,264
  5. Step 5: Solve for x
    x = 141,899,723,383,291,264/267,497,763.25
  6. Step 6: Final answer
    x = 530,470,691.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.