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Finding the Third Proportional to 408,941 and 880,372

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Solution

The third proportional to 408,941 and 880,372 is: 1,895,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,941 : 880,372 = 880,372 : x
  2. Step 2: Convert to fraction form
    408,941/880,372 = 880,372/x
  3. Step 3: Cross multiply
    408,941x = 880,372 × 880,372
  4. Step 4: Simplify right side
    408,941x = 775,054,858,384
  5. Step 5: Solve for x
    x = 775,054,858,384/408,941
  6. Step 6: Final answer
    x = 1,895,273.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.