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Finding the Third Proportional to 203,868 and 439,092

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Solution

The third proportional to 203,868 and 439,092 is: 945,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868 : 439,092 = 439,092 : x
  2. Step 2: Convert to fraction form
    203,868/439,092 = 439,092/x
  3. Step 3: Cross multiply
    203,868x = 439,092 × 439,092
  4. Step 4: Simplify right side
    203,868x = 192,801,784,464
  5. Step 5: Solve for x
    x = 192,801,784,464/203,868
  6. Step 6: Final answer
    x = 945,718.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.