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Finding the Third Proportional to 462.66 and 718.17

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Solution

The third proportional to 462.66 and 718.17 is: 1,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 718.17 = 718.17 : x
  2. Step 2: Convert to fraction form
    462.66/718.17 = 718.17/x
  3. Step 3: Cross multiply
    462.66x = 718.17 × 718.17
  4. Step 4: Simplify right side
    462.66x = 515,770.84
  5. Step 5: Solve for x
    x = 515,770.84/462.66
  6. Step 6: Final answer
    x = 1,114.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.