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Finding the Third Proportional to 516,282.75 and 759,229.88

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Solution

The third proportional to 516,282.75 and 759,229.88 is: 1,116,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,282.75 : 759,229.88 = 759,229.88 : x
  2. Step 2: Convert to fraction form
    516,282.75/759,229.88 = 759,229.88/x
  3. Step 3: Cross multiply
    516,282.75x = 759,229.88 × 759,229.88
  4. Step 4: Simplify right side
    516,282.75x = 576,430,003,092.52
  5. Step 5: Solve for x
    x = 576,430,003,092.52/516,282.75
  6. Step 6: Final answer
    x = 1,116,500.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.