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Finding the Third Proportional to 392,806.50 and 843,744

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Solution

The third proportional to 392,806.50 and 843,744 is: 1,812,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,806.50 : 843,744 = 843,744 : x
  2. Step 2: Convert to fraction form
    392,806.50/843,744 = 843,744/x
  3. Step 3: Cross multiply
    392,806.50x = 843,744 × 843,744
  4. Step 4: Simplify right side
    392,806.50x = 711,903,937,536
  5. Step 5: Solve for x
    x = 711,903,937,536/392,806.50
  6. Step 6: Final answer
    x = 1,812,352.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.