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Finding the Third Proportional to 275,904 and 421,878

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Solution

The third proportional to 275,904 and 421,878 is: 645,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,904 : 421,878 = 421,878 : x
  2. Step 2: Convert to fraction form
    275,904/421,878 = 421,878/x
  3. Step 3: Cross multiply
    275,904x = 421,878 × 421,878
  4. Step 4: Simplify right side
    275,904x = 177,981,046,884
  5. Step 5: Solve for x
    x = 177,981,046,884/275,904
  6. Step 6: Final answer
    x = 645,083.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.