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Finding the Third Proportional to 516.59 and 793.34

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Solution

The third proportional to 516.59 and 793.34 is: 1,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.59 : 793.34 = 793.34 : x
  2. Step 2: Convert to fraction form
    516.59/793.34 = 793.34/x
  3. Step 3: Cross multiply
    516.59x = 793.34 × 793.34
  4. Step 4: Simplify right side
    516.59x = 629,381.91
  5. Step 5: Solve for x
    x = 629,381.91/516.59
  6. Step 6: Final answer
    x = 1,218.35

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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.