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Finding the Third Proportional to 204,709 and 444,384

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Solution

The third proportional to 204,709 and 444,384 is: 964,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,709 : 444,384 = 444,384 : x
  2. Step 2: Convert to fraction form
    204,709/444,384 = 444,384/x
  3. Step 3: Cross multiply
    204,709x = 444,384 × 444,384
  4. Step 4: Simplify right side
    204,709x = 197,477,139,456
  5. Step 5: Solve for x
    x = 197,477,139,456/204,709
  6. Step 6: Final answer
    x = 964,672.48

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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.