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Finding the Third Proportional to 150,644 and 324,628

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Solution

The third proportional to 150,644 and 324,628 is: 699,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,644 : 324,628 = 324,628 : x
  2. Step 2: Convert to fraction form
    150,644/324,628 = 324,628/x
  3. Step 3: Cross multiply
    150,644x = 324,628 × 324,628
  4. Step 4: Simplify right side
    150,644x = 105,383,338,384
  5. Step 5: Solve for x
    x = 105,383,338,384/150,644
  6. Step 6: Final answer
    x = 699,552.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.