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Finding the Third Proportional to 204,734 and 444,838

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Solution

The third proportional to 204,734 and 444,838 is: 966,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,734 : 444,838 = 444,838 : x
  2. Step 2: Convert to fraction form
    204,734/444,838 = 444,838/x
  3. Step 3: Cross multiply
    204,734x = 444,838 × 444,838
  4. Step 4: Simplify right side
    204,734x = 197,880,846,244
  5. Step 5: Solve for x
    x = 197,880,846,244/204,734
  6. Step 6: Final answer
    x = 966,526.55

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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.