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Finding the Third Proportional to 806.75 and 932.75

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Solution

The third proportional to 806.75 and 932.75 is: 1,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.75 : 932.75 = 932.75 : x
  2. Step 2: Convert to fraction form
    806.75/932.75 = 932.75/x
  3. Step 3: Cross multiply
    806.75x = 932.75 × 932.75
  4. Step 4: Simplify right side
    806.75x = 870,022.56
  5. Step 5: Solve for x
    x = 870,022.56/806.75
  6. Step 6: Final answer
    x = 1,078.43

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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.