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Finding the Third Proportional to 400,446.75 and 851,760.75

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Solution

The third proportional to 400,446.75 and 851,760.75 is: 1,811,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,446.75 : 851,760.75 = 851,760.75 : x
  2. Step 2: Convert to fraction form
    400,446.75/851,760.75 = 851,760.75/x
  3. Step 3: Cross multiply
    400,446.75x = 851,760.75 × 851,760.75
  4. Step 4: Simplify right side
    400,446.75x = 725,496,375,240.56
  5. Step 5: Solve for x
    x = 725,496,375,240.56/400,446.75
  6. Step 6: Final answer
    x = 1,811,717.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.