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Finding the Third Proportional to 204,793 and 419,791

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Solution

The third proportional to 204,793 and 419,791 is: 860,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,793 : 419,791 = 419,791 : x
  2. Step 2: Convert to fraction form
    204,793/419,791 = 419,791/x
  3. Step 3: Cross multiply
    204,793x = 419,791 × 419,791
  4. Step 4: Simplify right side
    204,793x = 176,224,483,681
  5. Step 5: Solve for x
    x = 176,224,483,681/204,793
  6. Step 6: Final answer
    x = 860,500.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.