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Finding the Third Proportional to 658.13 and 767.81

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Solution

The third proportional to 658.13 and 767.81 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    658.13/767.81 = 767.81/x
  3. Step 3: Cross multiply
    658.13x = 767.81 × 767.81
  4. Step 4: Simplify right side
    658.13x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/658.13
  6. Step 6: Final answer
    x = 895.78

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.