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Finding the Third Proportional to 409,198.50 and 888,381

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Solution

The third proportional to 409,198.50 and 888,381 is: 1,928,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,198.50 : 888,381 = 888,381 : x
  2. Step 2: Convert to fraction form
    409,198.50/888,381 = 888,381/x
  3. Step 3: Cross multiply
    409,198.50x = 888,381 × 888,381
  4. Step 4: Simplify right side
    409,198.50x = 789,220,801,161
  5. Step 5: Solve for x
    x = 789,220,801,161/409,198.50
  6. Step 6: Final answer
    x = 1,928,699.15

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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.