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Finding the Third Proportional to 203,972 and 441,836

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Solution

The third proportional to 203,972 and 441,836 is: 957,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,972 : 441,836 = 441,836 : x
  2. Step 2: Convert to fraction form
    203,972/441,836 = 441,836/x
  3. Step 3: Cross multiply
    203,972x = 441,836 × 441,836
  4. Step 4: Simplify right side
    203,972x = 195,219,050,896
  5. Step 5: Solve for x
    x = 195,219,050,896/203,972
  6. Step 6: Final answer
    x = 957,087.50

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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.