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Finding the Third Proportional to 338,723.44 and 743,868.56

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Solution

The third proportional to 338,723.44 and 743,868.56 is: 1,633,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,723.44 : 743,868.56 = 743,868.56 : x
  2. Step 2: Convert to fraction form
    338,723.44/743,868.56 = 743,868.56/x
  3. Step 3: Cross multiply
    338,723.44x = 743,868.56 × 743,868.56
  4. Step 4: Simplify right side
    338,723.44x = 553,340,438,275.82
  5. Step 5: Solve for x
    x = 553,340,438,275.82/338,723.44
  6. Step 6: Final answer
    x = 1,633,605.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.