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Finding the Third Proportional to 217,132 and 444,792

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Solution

The third proportional to 217,132 and 444,792 is: 911,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,132 : 444,792 = 444,792 : x
  2. Step 2: Convert to fraction form
    217,132/444,792 = 444,792/x
  3. Step 3: Cross multiply
    217,132x = 444,792 × 444,792
  4. Step 4: Simplify right side
    217,132x = 197,839,923,264
  5. Step 5: Solve for x
    x = 197,839,923,264/217,132
  6. Step 6: Final answer
    x = 911,150.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.