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Finding the Third Proportional to 204,864 and 444,716

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Solution

The third proportional to 204,864 and 444,716 is: 965,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,864 : 444,716 = 444,716 : x
  2. Step 2: Convert to fraction form
    204,864/444,716 = 444,716/x
  3. Step 3: Cross multiply
    204,864x = 444,716 × 444,716
  4. Step 4: Simplify right side
    204,864x = 197,772,320,656
  5. Step 5: Solve for x
    x = 197,772,320,656/204,864
  6. Step 6: Final answer
    x = 965,383.48

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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.