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Finding the Third Proportional to 204,942 and 440,503

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Solution

The third proportional to 204,942 and 440,503 is: 946,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,942 : 440,503 = 440,503 : x
  2. Step 2: Convert to fraction form
    204,942/440,503 = 440,503/x
  3. Step 3: Cross multiply
    204,942x = 440,503 × 440,503
  4. Step 4: Simplify right side
    204,942x = 194,042,893,009
  5. Step 5: Solve for x
    x = 194,042,893,009/204,942
  6. Step 6: Final answer
    x = 946,818.58

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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.