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Finding the Third Proportional to 516.19 and 796.97

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Solution

The third proportional to 516.19 and 796.97 is: 1,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 796.97 = 796.97 : x
  2. Step 2: Convert to fraction form
    516.19/796.97 = 796.97/x
  3. Step 3: Cross multiply
    516.19x = 796.97 × 796.97
  4. Step 4: Simplify right side
    516.19x = 635,159.19
  5. Step 5: Solve for x
    x = 635,159.19/516.19
  6. Step 6: Final answer
    x = 1,230.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.