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Finding the Third Proportional to 398,188.97 and 859,770.56

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Solution

The third proportional to 398,188.97 and 859,770.56 is: 1,856,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,188.97 : 859,770.56 = 859,770.56 : x
  2. Step 2: Convert to fraction form
    398,188.97/859,770.56 = 859,770.56/x
  3. Step 3: Cross multiply
    398,188.97x = 859,770.56 × 859,770.56
  4. Step 4: Simplify right side
    398,188.97x = 739,205,420,141.57
  5. Step 5: Solve for x
    x = 739,205,420,141.57/398,188.97
  6. Step 6: Final answer
    x = 1,856,418.63

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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.