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Finding the Third Proportional to 414.84 and 631.69

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Solution

The third proportional to 414.84 and 631.69 is: 961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 631.69 = 631.69 : x
  2. Step 2: Convert to fraction form
    414.84/631.69 = 631.69/x
  3. Step 3: Cross multiply
    414.84x = 631.69 × 631.69
  4. Step 4: Simplify right side
    414.84x = 399,029.10
  5. Step 5: Solve for x
    x = 399,029.10/414.84
  6. Step 6: Final answer
    x = 961.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.