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Finding the Third Proportional to 204,047 and 444,233

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Solution

The third proportional to 204,047 and 444,233 is: 967,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,047 : 444,233 = 444,233 : x
  2. Step 2: Convert to fraction form
    204,047/444,233 = 444,233/x
  3. Step 3: Cross multiply
    204,047x = 444,233 × 444,233
  4. Step 4: Simplify right side
    204,047x = 197,342,958,289
  5. Step 5: Solve for x
    x = 197,342,958,289/204,047
  6. Step 6: Final answer
    x = 967,144.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.