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Finding the Third Proportional to 414,450.75 and 629,785.13

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Solution

The third proportional to 414,450.75 and 629,785.13 is: 956,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,450.75 : 629,785.13 = 629,785.13 : x
  2. Step 2: Convert to fraction form
    414,450.75/629,785.13 = 629,785.13/x
  3. Step 3: Cross multiply
    414,450.75x = 629,785.13 × 629,785.13
  4. Step 4: Simplify right side
    414,450.75x = 396,629,303,671.27
  5. Step 5: Solve for x
    x = 396,629,303,671.27/414,450.75
  6. Step 6: Final answer
    x = 956,999.85

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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.