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Finding the Third Proportional to 338,532.75 and 737,793.56

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Solution

The third proportional to 338,532.75 and 737,793.56 is: 1,607,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,532.75 : 737,793.56 = 737,793.56 : x
  2. Step 2: Convert to fraction form
    338,532.75/737,793.56 = 737,793.56/x
  3. Step 3: Cross multiply
    338,532.75x = 737,793.56 × 737,793.56
  4. Step 4: Simplify right side
    338,532.75x = 544,339,340,866.44
  5. Step 5: Solve for x
    x = 544,339,340,866.44/338,532.75
  6. Step 6: Final answer
    x = 1,607,937.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.