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Finding the Third Proportional to 414.87 and 911.78

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Solution

The third proportional to 414.87 and 911.78 is: 2,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.87 : 911.78 = 911.78 : x
  2. Step 2: Convert to fraction form
    414.87/911.78 = 911.78/x
  3. Step 3: Cross multiply
    414.87x = 911.78 × 911.78
  4. Step 4: Simplify right side
    414.87x = 831,349.95
  5. Step 5: Solve for x
    x = 831,349.95/414.87
  6. Step 6: Final answer
    x = 2,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.