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Finding the Third Proportional to 205,904 and 444,288

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Solution

The third proportional to 205,904 and 444,288 is: 958,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904 : 444,288 = 444,288 : x
  2. Step 2: Convert to fraction form
    205,904/444,288 = 444,288/x
  3. Step 3: Cross multiply
    205,904x = 444,288 × 444,288
  4. Step 4: Simplify right side
    205,904x = 197,391,826,944
  5. Step 5: Solve for x
    x = 197,391,826,944/205,904
  6. Step 6: Final answer
    x = 958,659.51

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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.