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Finding the Third Proportional to 203,617 and 443,375

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Solution

The third proportional to 203,617 and 443,375 is: 965,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,617 : 443,375 = 443,375 : x
  2. Step 2: Convert to fraction form
    203,617/443,375 = 443,375/x
  3. Step 3: Cross multiply
    203,617x = 443,375 × 443,375
  4. Step 4: Simplify right side
    203,617x = 196,581,390,625
  5. Step 5: Solve for x
    x = 196,581,390,625/203,617
  6. Step 6: Final answer
    x = 965,446.85

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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.