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Finding the Third Proportional to 209,233.50 and 453,891

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Solution

The third proportional to 209,233.50 and 453,891 is: 984,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,233.50 : 453,891 = 453,891 : x
  2. Step 2: Convert to fraction form
    209,233.50/453,891 = 453,891/x
  3. Step 3: Cross multiply
    209,233.50x = 453,891 × 453,891
  4. Step 4: Simplify right side
    209,233.50x = 206,017,039,881
  5. Step 5: Solve for x
    x = 206,017,039,881/209,233.50
  6. Step 6: Final answer
    x = 984,627.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.