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Finding the Third Proportional to 379,723 and 835,237

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Solution

The third proportional to 379,723 and 835,237 is: 1,837,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,723 : 835,237 = 835,237 : x
  2. Step 2: Convert to fraction form
    379,723/835,237 = 835,237/x
  3. Step 3: Cross multiply
    379,723x = 835,237 × 835,237
  4. Step 4: Simplify right side
    379,723x = 697,620,846,169
  5. Step 5: Solve for x
    x = 697,620,846,169/379,723
  6. Step 6: Final answer
    x = 1,837,183.54

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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.