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Finding the Third Proportional to 396,022.50 and 851,751.75

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Solution

The third proportional to 396,022.50 and 851,751.75 is: 1,831,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,022.50 : 851,751.75 = 851,751.75 : x
  2. Step 2: Convert to fraction form
    396,022.50/851,751.75 = 851,751.75/x
  3. Step 3: Cross multiply
    396,022.50x = 851,751.75 × 851,751.75
  4. Step 4: Simplify right side
    396,022.50x = 725,481,043,628.06
  5. Step 5: Solve for x
    x = 725,481,043,628.06/396,022.50
  6. Step 6: Final answer
    x = 1,831,918.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.