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Finding the Third Proportional to 766.13 and 991.69

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Solution

The third proportional to 766.13 and 991.69 is: 1,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 991.69 = 991.69 : x
  2. Step 2: Convert to fraction form
    766.13/991.69 = 991.69/x
  3. Step 3: Cross multiply
    766.13x = 991.69 × 991.69
  4. Step 4: Simplify right side
    766.13x = 983,444.10
  5. Step 5: Solve for x
    x = 983,444.10/766.13
  6. Step 6: Final answer
    x = 1,283.66

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.