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Finding the Third Proportional to 766.97 and 892.69

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Solution

The third proportional to 766.97 and 892.69 is: 1,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.97 : 892.69 = 892.69 : x
  2. Step 2: Convert to fraction form
    766.97/892.69 = 892.69/x
  3. Step 3: Cross multiply
    766.97x = 892.69 × 892.69
  4. Step 4: Simplify right side
    766.97x = 796,890.97
  5. Step 5: Solve for x
    x = 796,890.97/766.97
  6. Step 6: Final answer
    x = 1,039.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.