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Finding the Third Proportional to 409,201.50 and 888,387

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Solution

The third proportional to 409,201.50 and 888,387 is: 1,928,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,201.50 : 888,387 = 888,387 : x
  2. Step 2: Convert to fraction form
    409,201.50/888,387 = 888,387/x
  3. Step 3: Cross multiply
    409,201.50x = 888,387 × 888,387
  4. Step 4: Simplify right side
    409,201.50x = 789,231,461,769
  5. Step 5: Solve for x
    x = 789,231,461,769/409,201.50
  6. Step 6: Final answer
    x = 1,928,711.07

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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.