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Finding the Third Proportional to 409,208 and 888,404

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Solution

The third proportional to 409,208 and 888,404 is: 1,928,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,208 : 888,404 = 888,404 : x
  2. Step 2: Convert to fraction form
    409,208/888,404 = 888,404/x
  3. Step 3: Cross multiply
    409,208x = 888,404 × 888,404
  4. Step 4: Simplify right side
    409,208x = 789,261,667,216
  5. Step 5: Solve for x
    x = 789,261,667,216/409,208
  6. Step 6: Final answer
    x = 1,928,754.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.