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Finding the Third Proportional to 766.75 and 1,182.38

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Solution

The third proportional to 766.75 and 1,182.38 is: 1,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.75 : 1,182.38 = 1,182.38 : x
  2. Step 2: Convert to fraction form
    766.75/1,182.38 = 1,182.38/x
  3. Step 3: Cross multiply
    766.75x = 1,182.38 × 1,182.38
  4. Step 4: Simplify right side
    766.75x = 1,398,010.64
  5. Step 5: Solve for x
    x = 1,398,010.64/766.75
  6. Step 6: Final answer
    x = 1,823.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.