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Finding the Third Proportional to 204,615 and 444,647

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Solution

The third proportional to 204,615 and 444,647 is: 966,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,615 : 444,647 = 444,647 : x
  2. Step 2: Convert to fraction form
    204,615/444,647 = 444,647/x
  3. Step 3: Cross multiply
    204,615x = 444,647 × 444,647
  4. Step 4: Simplify right side
    204,615x = 197,710,954,609
  5. Step 5: Solve for x
    x = 197,710,954,609/204,615
  6. Step 6: Final answer
    x = 966,258.36

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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.