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Finding the Third Proportional to 192,992 and 418,990

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Solution

The third proportional to 192,992 and 418,990 is: 909,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,992 : 418,990 = 418,990 : x
  2. Step 2: Convert to fraction form
    192,992/418,990 = 418,990/x
  3. Step 3: Cross multiply
    192,992x = 418,990 × 418,990
  4. Step 4: Simplify right side
    192,992x = 175,552,620,100
  5. Step 5: Solve for x
    x = 175,552,620,100/192,992
  6. Step 6: Final answer
    x = 909,636.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.