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Finding the Third Proportional to 414,355.50 and 629,734.50

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Solution

The third proportional to 414,355.50 and 629,734.50 is: 957,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,355.50 : 629,734.50 = 629,734.50 : x
  2. Step 2: Convert to fraction form
    414,355.50/629,734.50 = 629,734.50/x
  3. Step 3: Cross multiply
    414,355.50x = 629,734.50 × 629,734.50
  4. Step 4: Simplify right side
    414,355.50x = 396,565,540,490.25
  5. Step 5: Solve for x
    x = 396,565,540,490.25/414,355.50
  6. Step 6: Final answer
    x = 957,065.95

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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.