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Finding the Third Proportional to 204,713.25 and 444,391.50

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Solution

The third proportional to 204,713.25 and 444,391.50 is: 964,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,713.25 : 444,391.50 = 444,391.50 : x
  2. Step 2: Convert to fraction form
    204,713.25/444,391.50 = 444,391.50/x
  3. Step 3: Cross multiply
    204,713.25x = 444,391.50 × 444,391.50
  4. Step 4: Simplify right side
    204,713.25x = 197,483,805,272.25
  5. Step 5: Solve for x
    x = 197,483,805,272.25/204,713.25
  6. Step 6: Final answer
    x = 964,685.02

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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.