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Finding the Third Proportional to 720.46 and 932.61

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Solution

The third proportional to 720.46 and 932.61 is: 1,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.46 : 932.61 = 932.61 : x
  2. Step 2: Convert to fraction form
    720.46/932.61 = 932.61/x
  3. Step 3: Cross multiply
    720.46x = 932.61 × 932.61
  4. Step 4: Simplify right side
    720.46x = 869,756.60
  5. Step 5: Solve for x
    x = 869,756.60/720.46
  6. Step 6: Final answer
    x = 1,207.23

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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.