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Finding the Third Proportional to 204,696 and 444,182

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Solution

The third proportional to 204,696 and 444,182 is: 963,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,696 : 444,182 = 444,182 : x
  2. Step 2: Convert to fraction form
    204,696/444,182 = 444,182/x
  3. Step 3: Cross multiply
    204,696x = 444,182 × 444,182
  4. Step 4: Simplify right side
    204,696x = 197,297,649,124
  5. Step 5: Solve for x
    x = 197,297,649,124/204,696
  6. Step 6: Final answer
    x = 963,856.89

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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.