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Finding the Third Proportional to 204,997 and 450,352

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Solution

The third proportional to 204,997 and 450,352 is: 989,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997 : 450,352 = 450,352 : x
  2. Step 2: Convert to fraction form
    204,997/450,352 = 450,352/x
  3. Step 3: Cross multiply
    204,997x = 450,352 × 450,352
  4. Step 4: Simplify right side
    204,997x = 202,816,923,904
  5. Step 5: Solve for x
    x = 202,816,923,904/204,997
  6. Step 6: Final answer
    x = 989,365.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.