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Finding the Third Proportional to 203,972 and 441,843

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Solution

The third proportional to 203,972 and 441,843 is: 957,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,972 : 441,843 = 441,843 : x
  2. Step 2: Convert to fraction form
    203,972/441,843 = 441,843/x
  3. Step 3: Cross multiply
    203,972x = 441,843 × 441,843
  4. Step 4: Simplify right side
    203,972x = 195,225,236,649
  5. Step 5: Solve for x
    x = 195,225,236,649/203,972
  6. Step 6: Final answer
    x = 957,117.82

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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.