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Finding the Third Proportional to 394,458.75 and 852,000.75

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Solution

The third proportional to 394,458.75 and 852,000.75 is: 1,840,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,458.75 : 852,000.75 = 852,000.75 : x
  2. Step 2: Convert to fraction form
    394,458.75/852,000.75 = 852,000.75/x
  3. Step 3: Cross multiply
    394,458.75x = 852,000.75 × 852,000.75
  4. Step 4: Simplify right side
    394,458.75x = 725,905,278,000.56
  5. Step 5: Solve for x
    x = 725,905,278,000.56/394,458.75
  6. Step 6: Final answer
    x = 1,840,256.50

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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.