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Finding the Third Proportional to 516.75 and 799.13

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Solution

The third proportional to 516.75 and 799.13 is: 1,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 799.13 = 799.13 : x
  2. Step 2: Convert to fraction form
    516.75/799.13 = 799.13/x
  3. Step 3: Cross multiply
    516.75x = 799.13 × 799.13
  4. Step 4: Simplify right side
    516.75x = 638,600.77
  5. Step 5: Solve for x
    x = 638,600.77/516.75
  6. Step 6: Final answer
    x = 1,235.80

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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.