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Finding the Third Proportional to 204,675 and 440,454

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Solution

The third proportional to 204,675 and 440,454 is: 947,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,675 : 440,454 = 440,454 : x
  2. Step 2: Convert to fraction form
    204,675/440,454 = 440,454/x
  3. Step 3: Cross multiply
    204,675x = 440,454 × 440,454
  4. Step 4: Simplify right side
    204,675x = 193,999,726,116
  5. Step 5: Solve for x
    x = 193,999,726,116/204,675
  6. Step 6: Final answer
    x = 947,842.81

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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.