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Finding the Third Proportional to 204,610.50 and 444,638.25

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Solution

The third proportional to 204,610.50 and 444,638.25 is: 966,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,610.50 : 444,638.25 = 444,638.25 : x
  2. Step 2: Convert to fraction form
    204,610.50/444,638.25 = 444,638.25/x
  3. Step 3: Cross multiply
    204,610.50x = 444,638.25 × 444,638.25
  4. Step 4: Simplify right side
    204,610.50x = 197,703,173,363.06
  5. Step 5: Solve for x
    x = 197,703,173,363.06/204,610.50
  6. Step 6: Final answer
    x = 966,241.58

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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.