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Finding the Third Proportional to 204,533 and 441,734

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Solution

The third proportional to 204,533 and 441,734 is: 954,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,533 : 441,734 = 441,734 : x
  2. Step 2: Convert to fraction form
    204,533/441,734 = 441,734/x
  3. Step 3: Cross multiply
    204,533x = 441,734 × 441,734
  4. Step 4: Simplify right side
    204,533x = 195,128,926,756
  5. Step 5: Solve for x
    x = 195,128,926,756/204,533
  6. Step 6: Final answer
    x = 954,021.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.