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Finding the Third Proportional to 577,821.50 and 898,204

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Solution

The third proportional to 577,821.50 and 898,204 is: 1,396,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,821.50 : 898,204 = 898,204 : x
  2. Step 2: Convert to fraction form
    577,821.50/898,204 = 898,204/x
  3. Step 3: Cross multiply
    577,821.50x = 898,204 × 898,204
  4. Step 4: Simplify right side
    577,821.50x = 806,770,425,616
  5. Step 5: Solve for x
    x = 806,770,425,616/577,821.50
  6. Step 6: Final answer
    x = 1,396,227.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.