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Finding the Third Proportional to 499,851 and 774,198

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Solution

The third proportional to 499,851 and 774,198 is: 1,199,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,851 : 774,198 = 774,198 : x
  2. Step 2: Convert to fraction form
    499,851/774,198 = 774,198/x
  3. Step 3: Cross multiply
    499,851x = 774,198 × 774,198
  4. Step 4: Simplify right side
    499,851x = 599,382,543,204
  5. Step 5: Solve for x
    x = 599,382,543,204/499,851
  6. Step 6: Final answer
    x = 1,199,122.42

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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.