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Finding the Third Proportional to 449,227.69 and 981,355.50

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Solution

The third proportional to 449,227.69 and 981,355.50 is: 2,143,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,227.69 : 981,355.50 = 981,355.50 : x
  2. Step 2: Convert to fraction form
    449,227.69/981,355.50 = 981,355.50/x
  3. Step 3: Cross multiply
    449,227.69x = 981,355.50 × 981,355.50
  4. Step 4: Simplify right side
    449,227.69x = 963,058,617,380.25
  5. Step 5: Solve for x
    x = 963,058,617,380.25/449,227.69
  6. Step 6: Final answer
    x = 2,143,809.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.