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Finding the Third Proportional to 397,116 and 774,171

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Solution

The third proportional to 397,116 and 774,171 is: 1,509,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,116 : 774,171 = 774,171 : x
  2. Step 2: Convert to fraction form
    397,116/774,171 = 774,171/x
  3. Step 3: Cross multiply
    397,116x = 774,171 × 774,171
  4. Step 4: Simplify right side
    397,116x = 599,340,737,241
  5. Step 5: Solve for x
    x = 599,340,737,241/397,116
  6. Step 6: Final answer
    x = 1,509,233.42

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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.