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Finding the Third Proportional to 193,620 and 416,908

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Solution

The third proportional to 193,620 and 416,908 is: 897,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,620 : 416,908 = 416,908 : x
  2. Step 2: Convert to fraction form
    193,620/416,908 = 416,908/x
  3. Step 3: Cross multiply
    193,620x = 416,908 × 416,908
  4. Step 4: Simplify right side
    193,620x = 173,812,280,464
  5. Step 5: Solve for x
    x = 173,812,280,464/193,620
  6. Step 6: Final answer
    x = 897,697.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.