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Finding the Third Proportional to 378,305 and 562,098

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Solution

The third proportional to 378,305 and 562,098 is: 835,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,305 : 562,098 = 562,098 : x
  2. Step 2: Convert to fraction form
    378,305/562,098 = 562,098/x
  3. Step 3: Cross multiply
    378,305x = 562,098 × 562,098
  4. Step 4: Simplify right side
    378,305x = 315,954,161,604
  5. Step 5: Solve for x
    x = 315,954,161,604/378,305
  6. Step 6: Final answer
    x = 835,183.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.