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Finding the Third Proportional to 204,035 and 441,964

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Solution

The third proportional to 204,035 and 441,964 is: 957,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,035 : 441,964 = 441,964 : x
  2. Step 2: Convert to fraction form
    204,035/441,964 = 441,964/x
  3. Step 3: Cross multiply
    204,035x = 441,964 × 441,964
  4. Step 4: Simplify right side
    204,035x = 195,332,177,296
  5. Step 5: Solve for x
    x = 195,332,177,296/204,035
  6. Step 6: Final answer
    x = 957,346.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.