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Finding the Third Proportional to 516.56 and 790.03

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Solution

The third proportional to 516.56 and 790.03 is: 1,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 790.03 = 790.03 : x
  2. Step 2: Convert to fraction form
    516.56/790.03 = 790.03/x
  3. Step 3: Cross multiply
    516.56x = 790.03 × 790.03
  4. Step 4: Simplify right side
    516.56x = 624,149.38
  5. Step 5: Solve for x
    x = 624,149.38/516.56
  6. Step 6: Final answer
    x = 1,208.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.