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Finding the Third Proportional to 198,738 and 436,788

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Solution

The third proportional to 198,738 and 436,788 is: 959,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,738 : 436,788 = 436,788 : x
  2. Step 2: Convert to fraction form
    198,738/436,788 = 436,788/x
  3. Step 3: Cross multiply
    198,738x = 436,788 × 436,788
  4. Step 4: Simplify right side
    198,738x = 190,783,756,944
  5. Step 5: Solve for x
    x = 190,783,756,944/198,738
  6. Step 6: Final answer
    x = 959,976.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.