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Finding the Third Proportional to 379,716 and 835,218

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Solution

The third proportional to 379,716 and 835,218 is: 1,837,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,716 : 835,218 = 835,218 : x
  2. Step 2: Convert to fraction form
    379,716/835,218 = 835,218/x
  3. Step 3: Cross multiply
    379,716x = 835,218 × 835,218
  4. Step 4: Simplify right side
    379,716x = 697,589,107,524
  5. Step 5: Solve for x
    x = 697,589,107,524/379,716
  6. Step 6: Final answer
    x = 1,837,133.83

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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.