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Finding the Third Proportional to 309,863.25 and 656,932.50

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Solution

The third proportional to 309,863.25 and 656,932.50 is: 1,392,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,863.25 : 656,932.50 = 656,932.50 : x
  2. Step 2: Convert to fraction form
    309,863.25/656,932.50 = 656,932.50/x
  3. Step 3: Cross multiply
    309,863.25x = 656,932.50 × 656,932.50
  4. Step 4: Simplify right side
    309,863.25x = 431,560,309,556.25
  5. Step 5: Solve for x
    x = 431,560,309,556.25/309,863.25
  6. Step 6: Final answer
    x = 1,392,744.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.