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Finding the Third Proportional to 203,478 and 441,983

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Solution

The third proportional to 203,478 and 441,983 is: 960,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478 : 441,983 = 441,983 : x
  2. Step 2: Convert to fraction form
    203,478/441,983 = 441,983/x
  3. Step 3: Cross multiply
    203,478x = 441,983 × 441,983
  4. Step 4: Simplify right side
    203,478x = 195,348,972,289
  5. Step 5: Solve for x
    x = 195,348,972,289/203,478
  6. Step 6: Final answer
    x = 960,049.60

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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.