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Finding the Third Proportional to 516.44 and 800.97

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Solution

The third proportional to 516.44 and 800.97 is: 1,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.44 : 800.97 = 800.97 : x
  2. Step 2: Convert to fraction form
    516.44/800.97 = 800.97/x
  3. Step 3: Cross multiply
    516.44x = 800.97 × 800.97
  4. Step 4: Simplify right side
    516.44x = 641,550.94
  5. Step 5: Solve for x
    x = 641,550.94/516.44
  6. Step 6: Final answer
    x = 1,242.26

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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.