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Finding the Third Proportional to 414.38 and 687.94

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Solution

The third proportional to 414.38 and 687.94 is: 1,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 687.94 = 687.94 : x
  2. Step 2: Convert to fraction form
    414.38/687.94 = 687.94/x
  3. Step 3: Cross multiply
    414.38x = 687.94 × 687.94
  4. Step 4: Simplify right side
    414.38x = 473,258.00
  5. Step 5: Solve for x
    x = 473,258.00/414.38
  6. Step 6: Final answer
    x = 1,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.