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Finding the Third Proportional to 203,994 and 441,882

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Solution

The third proportional to 203,994 and 441,882 is: 957,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,994 : 441,882 = 441,882 : x
  2. Step 2: Convert to fraction form
    203,994/441,882 = 441,882/x
  3. Step 3: Cross multiply
    203,994x = 441,882 × 441,882
  4. Step 4: Simplify right side
    203,994x = 195,259,701,924
  5. Step 5: Solve for x
    x = 195,259,701,924/203,994
  6. Step 6: Final answer
    x = 957,183.55

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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.