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Finding the Third Proportional to 516.38 and 704.64

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Solution

The third proportional to 516.38 and 704.64 is: 961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 704.64 = 704.64 : x
  2. Step 2: Convert to fraction form
    516.38/704.64 = 704.64/x
  3. Step 3: Cross multiply
    516.38x = 704.64 × 704.64
  4. Step 4: Simplify right side
    516.38x = 496,512.91
  5. Step 5: Solve for x
    x = 496,512.91/516.38
  6. Step 6: Final answer
    x = 961.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.