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Finding the Third Proportional to 263,289.94 and 396,793.69

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Solution

The third proportional to 263,289.94 and 396,793.69 is: 597,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,289.94 : 396,793.69 = 396,793.69 : x
  2. Step 2: Convert to fraction form
    263,289.94/396,793.69 = 396,793.69/x
  3. Step 3: Cross multiply
    263,289.94x = 396,793.69 × 396,793.69
  4. Step 4: Simplify right side
    263,289.94x = 157,445,230,439.85
  5. Step 5: Solve for x
    x = 157,445,230,439.85/263,289.94
  6. Step 6: Final answer
    x = 597,991.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.