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Finding the Third Proportional to 204,673 and 440,450

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Solution

The third proportional to 204,673 and 440,450 is: 947,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,673 : 440,450 = 440,450 : x
  2. Step 2: Convert to fraction form
    204,673/440,450 = 440,450/x
  3. Step 3: Cross multiply
    204,673x = 440,450 × 440,450
  4. Step 4: Simplify right side
    204,673x = 193,996,202,500
  5. Step 5: Solve for x
    x = 193,996,202,500/204,673
  6. Step 6: Final answer
    x = 947,834.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.