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Finding the Third Proportional to 204,705 and 444,375

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Solution

The third proportional to 204,705 and 444,375 is: 964,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,705 : 444,375 = 444,375 : x
  2. Step 2: Convert to fraction form
    204,705/444,375 = 444,375/x
  3. Step 3: Cross multiply
    204,705x = 444,375 × 444,375
  4. Step 4: Simplify right side
    204,705x = 197,469,140,625
  5. Step 5: Solve for x
    x = 197,469,140,625/204,705
  6. Step 6: Final answer
    x = 964,652.26

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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.