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Finding the Third Proportional to 636.05 and 1,380.89

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Solution

The third proportional to 636.05 and 1,380.89 is: 2,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.05 : 1,380.89 = 1,380.89 : x
  2. Step 2: Convert to fraction form
    636.05/1,380.89 = 1,380.89/x
  3. Step 3: Cross multiply
    636.05x = 1,380.89 × 1,380.89
  4. Step 4: Simplify right side
    636.05x = 1,906,859.42
  5. Step 5: Solve for x
    x = 1,906,859.42/636.05
  6. Step 6: Final answer
    x = 2,997.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.