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Finding the Third Proportional to 516.02 and 1,129.92

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Solution

The third proportional to 516.02 and 1,129.92 is: 2,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 1,129.92 = 1,129.92 : x
  2. Step 2: Convert to fraction form
    516.02/1,129.92 = 1,129.92/x
  3. Step 3: Cross multiply
    516.02x = 1,129.92 × 1,129.92
  4. Step 4: Simplify right side
    516.02x = 1,276,723.44
  5. Step 5: Solve for x
    x = 1,276,723.44/516.02
  6. Step 6: Final answer
    x = 2,474.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.