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Finding the Third Proportional to 516.27 and 735.96

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Solution

The third proportional to 516.27 and 735.96 is: 1,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.27 : 735.96 = 735.96 : x
  2. Step 2: Convert to fraction form
    516.27/735.96 = 735.96/x
  3. Step 3: Cross multiply
    516.27x = 735.96 × 735.96
  4. Step 4: Simplify right side
    516.27x = 541,638.50
  5. Step 5: Solve for x
    x = 541,638.50/516.27
  6. Step 6: Final answer
    x = 1,049.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.