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Finding the Third Proportional to 204,402 and 439,884

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Solution

The third proportional to 204,402 and 439,884 is: 946,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,402 : 439,884 = 439,884 : x
  2. Step 2: Convert to fraction form
    204,402/439,884 = 439,884/x
  3. Step 3: Cross multiply
    204,402x = 439,884 × 439,884
  4. Step 4: Simplify right side
    204,402x = 193,497,933,456
  5. Step 5: Solve for x
    x = 193,497,933,456/204,402
  6. Step 6: Final answer
    x = 946,653.82

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Why These Related Problems?

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