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Finding the Third Proportional to 203,422 and 443,007

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Solution

The third proportional to 203,422 and 443,007 is: 964,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,422 : 443,007 = 443,007 : x
  2. Step 2: Convert to fraction form
    203,422/443,007 = 443,007/x
  3. Step 3: Cross multiply
    203,422x = 443,007 × 443,007
  4. Step 4: Simplify right side
    203,422x = 196,255,202,049
  5. Step 5: Solve for x
    x = 196,255,202,049/203,422
  6. Step 6: Final answer
    x = 964,768.82

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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.