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Finding the Third Proportional to 384,439.50 and 898,222.50

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Solution

The third proportional to 384,439.50 and 898,222.50 is: 2,098,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,439.50 : 898,222.50 = 898,222.50 : x
  2. Step 2: Convert to fraction form
    384,439.50/898,222.50 = 898,222.50/x
  3. Step 3: Cross multiply
    384,439.50x = 898,222.50 × 898,222.50
  4. Step 4: Simplify right side
    384,439.50x = 806,803,659,506.25
  5. Step 5: Solve for x
    x = 806,803,659,506.25/384,439.50
  6. Step 6: Final answer
    x = 2,098,649.23

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.