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Finding the Third Proportional to 394,627.50 and 852,311.25

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Solution

The third proportional to 394,627.50 and 852,311.25 is: 1,840,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,627.50 : 852,311.25 = 852,311.25 : x
  2. Step 2: Convert to fraction form
    394,627.50/852,311.25 = 852,311.25/x
  3. Step 3: Cross multiply
    394,627.50x = 852,311.25 × 852,311.25
  4. Step 4: Simplify right side
    394,627.50x = 726,434,466,876.56
  5. Step 5: Solve for x
    x = 726,434,466,876.56/394,627.50
  6. Step 6: Final answer
    x = 1,840,810.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.