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Finding the Third Proportional to 203,619 and 443,379

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Solution

The third proportional to 203,619 and 443,379 is: 965,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,619 : 443,379 = 443,379 : x
  2. Step 2: Convert to fraction form
    203,619/443,379 = 443,379/x
  3. Step 3: Cross multiply
    203,619x = 443,379 × 443,379
  4. Step 4: Simplify right side
    203,619x = 196,584,937,641
  5. Step 5: Solve for x
    x = 196,584,937,641/203,619
  6. Step 6: Final answer
    x = 965,454.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.