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Finding the Third Proportional to 440.13 and 809.38

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Solution

The third proportional to 440.13 and 809.38 is: 1,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.13 : 809.38 = 809.38 : x
  2. Step 2: Convert to fraction form
    440.13/809.38 = 809.38/x
  3. Step 3: Cross multiply
    440.13x = 809.38 × 809.38
  4. Step 4: Simplify right side
    440.13x = 655,087.89
  5. Step 5: Solve for x
    x = 655,087.89/440.13
  6. Step 6: Final answer
    x = 1,488.41

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.