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Finding the Third Proportional to 193,622 and 416,912

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Solution

The third proportional to 193,622 and 416,912 is: 897,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,622 : 416,912 = 416,912 : x
  2. Step 2: Convert to fraction form
    193,622/416,912 = 416,912/x
  3. Step 3: Cross multiply
    193,622x = 416,912 × 416,912
  4. Step 4: Simplify right side
    193,622x = 173,815,615,744
  5. Step 5: Solve for x
    x = 173,815,615,744/193,622
  6. Step 6: Final answer
    x = 897,705.92

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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.