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Finding the Third Proportional to 377,694.75 and 736,115.25

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Solution

The third proportional to 377,694.75 and 736,115.25 is: 1,434,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,694.75 : 736,115.25 = 736,115.25 : x
  2. Step 2: Convert to fraction form
    377,694.75/736,115.25 = 736,115.25/x
  3. Step 3: Cross multiply
    377,694.75x = 736,115.25 × 736,115.25
  4. Step 4: Simplify right side
    377,694.75x = 541,865,661,282.56
  5. Step 5: Solve for x
    x = 541,865,661,282.56/377,694.75
  6. Step 6: Final answer
    x = 1,434,665.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.