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Finding the Third Proportional to 629,856.75 and 956,449.13

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Solution

The third proportional to 629,856.75 and 956,449.13 is: 1,452,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,856.75 : 956,449.13 = 956,449.13 : x
  2. Step 2: Convert to fraction form
    629,856.75/956,449.13 = 956,449.13/x
  3. Step 3: Cross multiply
    629,856.75x = 956,449.13 × 956,449.13
  4. Step 4: Simplify right side
    629,856.75x = 914,794,928,713.27
  5. Step 5: Solve for x
    x = 914,794,928,713.27/629,856.75
  6. Step 6: Final answer
    x = 1,452,385.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.