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Finding the Third Proportional to 205,383 and 444,462

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Solution

The third proportional to 205,383 and 444,462 is: 961,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,383 : 444,462 = 444,462 : x
  2. Step 2: Convert to fraction form
    205,383/444,462 = 444,462/x
  3. Step 3: Cross multiply
    205,383x = 444,462 × 444,462
  4. Step 4: Simplify right side
    205,383x = 197,546,469,444
  5. Step 5: Solve for x
    x = 197,546,469,444/205,383
  6. Step 6: Final answer
    x = 961,844.31

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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.