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Finding the Third Proportional to 363,426.75 and 782,399.25

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Solution

The third proportional to 363,426.75 and 782,399.25 is: 1,684,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,426.75 : 782,399.25 = 782,399.25 : x
  2. Step 2: Convert to fraction form
    363,426.75/782,399.25 = 782,399.25/x
  3. Step 3: Cross multiply
    363,426.75x = 782,399.25 × 782,399.25
  4. Step 4: Simplify right side
    363,426.75x = 612,148,586,400.56
  5. Step 5: Solve for x
    x = 612,148,586,400.56/363,426.75
  6. Step 6: Final answer
    x = 1,684,379.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.