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Finding the Third Proportional to 203,426 and 443,016

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Solution

The third proportional to 203,426 and 443,016 is: 964,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,426 : 443,016 = 443,016 : x
  2. Step 2: Convert to fraction form
    203,426/443,016 = 443,016/x
  3. Step 3: Cross multiply
    203,426x = 443,016 × 443,016
  4. Step 4: Simplify right side
    203,426x = 196,263,176,256
  5. Step 5: Solve for x
    x = 196,263,176,256/203,426
  6. Step 6: Final answer
    x = 964,789.04

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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.