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Finding the Third Proportional to 205,380 and 444,456

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Solution

The third proportional to 205,380 and 444,456 is: 961,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,380 : 444,456 = 444,456 : x
  2. Step 2: Convert to fraction form
    205,380/444,456 = 444,456/x
  3. Step 3: Cross multiply
    205,380x = 444,456 × 444,456
  4. Step 4: Simplify right side
    205,380x = 197,541,135,936
  5. Step 5: Solve for x
    x = 197,541,135,936/205,380
  6. Step 6: Final answer
    x = 961,832.39

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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.