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Finding the Third Proportional to 204,610.50 and 477,902.25

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Solution

The third proportional to 204,610.50 and 477,902.25 is: 1,116,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,610.50 : 477,902.25 = 477,902.25 : x
  2. Step 2: Convert to fraction form
    204,610.50/477,902.25 = 477,902.25/x
  3. Step 3: Cross multiply
    204,610.50x = 477,902.25 × 477,902.25
  4. Step 4: Simplify right side
    204,610.50x = 228,390,560,555.06
  5. Step 5: Solve for x
    x = 228,390,560,555.06/204,610.50
  6. Step 6: Final answer
    x = 1,116,221.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.