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Finding the Third Proportional to 363,740.25 and 782,191.50

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Solution

The third proportional to 363,740.25 and 782,191.50 is: 1,682,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,740.25 : 782,191.50 = 782,191.50 : x
  2. Step 2: Convert to fraction form
    363,740.25/782,191.50 = 782,191.50/x
  3. Step 3: Cross multiply
    363,740.25x = 782,191.50 × 782,191.50
  4. Step 4: Simplify right side
    363,740.25x = 611,823,542,672.25
  5. Step 5: Solve for x
    x = 611,823,542,672.25/363,740.25
  6. Step 6: Final answer
    x = 1,682,034.21

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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.