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Finding the Third Proportional to 414.94 and 883.88

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Solution

The third proportional to 414.94 and 883.88 is: 1,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 883.88 = 883.88 : x
  2. Step 2: Convert to fraction form
    414.94/883.88 = 883.88/x
  3. Step 3: Cross multiply
    414.94x = 883.88 × 883.88
  4. Step 4: Simplify right side
    414.94x = 781,235.02
  5. Step 5: Solve for x
    x = 781,235.02/414.94
  6. Step 6: Final answer
    x = 1,882.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.