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Finding the Third Proportional to 203,664 and 443,472

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Solution

The third proportional to 203,664 and 443,472 is: 965,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,664 : 443,472 = 443,472 : x
  2. Step 2: Convert to fraction form
    203,664/443,472 = 443,472/x
  3. Step 3: Cross multiply
    203,664x = 443,472 × 443,472
  4. Step 4: Simplify right side
    203,664x = 196,667,414,784
  5. Step 5: Solve for x
    x = 196,667,414,784/203,664
  6. Step 6: Final answer
    x = 965,646.43

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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.