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Finding the Third Proportional to 766.69 and 1,165.22

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Solution

The third proportional to 766.69 and 1,165.22 is: 1,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.69 : 1,165.22 = 1,165.22 : x
  2. Step 2: Convert to fraction form
    766.69/1,165.22 = 1,165.22/x
  3. Step 3: Cross multiply
    766.69x = 1,165.22 × 1,165.22
  4. Step 4: Simplify right side
    766.69x = 1,357,734.74
  5. Step 5: Solve for x
    x = 1,357,734.74/766.69
  6. Step 6: Final answer
    x = 1,770.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.