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Finding the Third Proportional to 227,954.25 and 527,717.53

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Solution

The third proportional to 227,954.25 and 527,717.53 is: 1,221,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,954.25 : 527,717.53 = 527,717.53 : x
  2. Step 2: Convert to fraction form
    227,954.25/527,717.53 = 527,717.53/x
  3. Step 3: Cross multiply
    227,954.25x = 527,717.53 × 527,717.53
  4. Step 4: Simplify right side
    227,954.25x = 278,485,792,788.60
  5. Step 5: Solve for x
    x = 278,485,792,788.60/227,954.25
  6. Step 6: Final answer
    x = 1,221,674.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.