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Finding the Third Proportional to 631.13 and 766.88

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Solution

The third proportional to 631.13 and 766.88 is: 931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.13 : 766.88 = 766.88 : x
  2. Step 2: Convert to fraction form
    631.13/766.88 = 766.88/x
  3. Step 3: Cross multiply
    631.13x = 766.88 × 766.88
  4. Step 4: Simplify right side
    631.13x = 588,097.27
  5. Step 5: Solve for x
    x = 588,097.27/631.13
  6. Step 6: Final answer
    x = 931.82

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.