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Finding the Third Proportional to 397,118 and 774,175

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Solution

The third proportional to 397,118 and 774,175 is: 1,509,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,118 : 774,175 = 774,175 : x
  2. Step 2: Convert to fraction form
    397,118/774,175 = 774,175/x
  3. Step 3: Cross multiply
    397,118x = 774,175 × 774,175
  4. Step 4: Simplify right side
    397,118x = 599,346,930,625
  5. Step 5: Solve for x
    x = 599,346,930,625/397,118
  6. Step 6: Final answer
    x = 1,509,241.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.