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Finding the Third Proportional to 440.81 and 520.13

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Solution

The third proportional to 440.81 and 520.13 is: 613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.81 : 520.13 = 520.13 : x
  2. Step 2: Convert to fraction form
    440.81/520.13 = 520.13/x
  3. Step 3: Cross multiply
    440.81x = 520.13 × 520.13
  4. Step 4: Simplify right side
    440.81x = 270,530.02
  5. Step 5: Solve for x
    x = 270,530.02/440.81
  6. Step 6: Final answer
    x = 613.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.