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Finding the Third Proportional to 516.38 and 798.61

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Solution

The third proportional to 516.38 and 798.61 is: 1,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 798.61 = 798.61 : x
  2. Step 2: Convert to fraction form
    516.38/798.61 = 798.61/x
  3. Step 3: Cross multiply
    516.38x = 798.61 × 798.61
  4. Step 4: Simplify right side
    516.38x = 637,776.93
  5. Step 5: Solve for x
    x = 637,776.93/516.38
  6. Step 6: Final answer
    x = 1,235.10

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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.