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Finding the Third Proportional to 476,310.38 and 737,793.56

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Solution

The third proportional to 476,310.38 and 737,793.56 is: 1,142,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,310.38 : 737,793.56 = 737,793.56 : x
  2. Step 2: Convert to fraction form
    476,310.38/737,793.56 = 737,793.56/x
  3. Step 3: Cross multiply
    476,310.38x = 737,793.56 × 737,793.56
  4. Step 4: Simplify right side
    476,310.38x = 544,339,340,866.44
  5. Step 5: Solve for x
    x = 544,339,340,866.44/476,310.38
  6. Step 6: Final answer
    x = 1,142,824.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.