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Finding the Third Proportional to 205,904 and 444,610

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Solution

The third proportional to 205,904 and 444,610 is: 960,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904 : 444,610 = 444,610 : x
  2. Step 2: Convert to fraction form
    205,904/444,610 = 444,610/x
  3. Step 3: Cross multiply
    205,904x = 444,610 × 444,610
  4. Step 4: Simplify right side
    205,904x = 197,678,052,100
  5. Step 5: Solve for x
    x = 197,678,052,100/205,904
  6. Step 6: Final answer
    x = 960,049.60

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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.