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Finding the Third Proportional to 162,569 and 396,824

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Solution

The third proportional to 162,569 and 396,824 is: 968,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,569 : 396,824 = 396,824 : x
  2. Step 2: Convert to fraction form
    162,569/396,824 = 396,824/x
  3. Step 3: Cross multiply
    162,569x = 396,824 × 396,824
  4. Step 4: Simplify right side
    162,569x = 157,469,286,976
  5. Step 5: Solve for x
    x = 157,469,286,976/162,569
  6. Step 6: Final answer
    x = 968,630.47

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.