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Finding the Third Proportional to 614.81 and 863.91

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Solution

The third proportional to 614.81 and 863.91 is: 1,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.81 : 863.91 = 863.91 : x
  2. Step 2: Convert to fraction form
    614.81/863.91 = 863.91/x
  3. Step 3: Cross multiply
    614.81x = 863.91 × 863.91
  4. Step 4: Simplify right side
    614.81x = 746,334.01
  5. Step 5: Solve for x
    x = 746,334.01/614.81
  6. Step 6: Final answer
    x = 1,213.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.