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Finding the Third Proportional to 203,589 and 443,317

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Solution

The third proportional to 203,589 and 443,317 is: 965,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,589 : 443,317 = 443,317 : x
  2. Step 2: Convert to fraction form
    203,589/443,317 = 443,317/x
  3. Step 3: Cross multiply
    203,589x = 443,317 × 443,317
  4. Step 4: Simplify right side
    203,589x = 196,529,962,489
  5. Step 5: Solve for x
    x = 196,529,962,489/203,589
  6. Step 6: Final answer
    x = 965,327.02

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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.