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Finding the Third Proportional to 203,947.88 and 441,794.25

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Solution

The third proportional to 203,947.88 and 441,794.25 is: 957,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.88 : 441,794.25 = 441,794.25 : x
  2. Step 2: Convert to fraction form
    203,947.88/441,794.25 = 441,794.25/x
  3. Step 3: Cross multiply
    203,947.88x = 441,794.25 × 441,794.25
  4. Step 4: Simplify right side
    203,947.88x = 195,182,159,333.06
  5. Step 5: Solve for x
    x = 195,182,159,333.06/203,947.88
  6. Step 6: Final answer
    x = 957,019.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.