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Finding the Third Proportional to 204,724 and 315,834

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Solution

The third proportional to 204,724 and 315,834 is: 487,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,724 : 315,834 = 315,834 : x
  2. Step 2: Convert to fraction form
    204,724/315,834 = 315,834/x
  3. Step 3: Cross multiply
    204,724x = 315,834 × 315,834
  4. Step 4: Simplify right side
    204,724x = 99,751,115,556
  5. Step 5: Solve for x
    x = 99,751,115,556/204,724
  6. Step 6: Final answer
    x = 487,246.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.