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Finding the Third Proportional to 309,132 and 674,100

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Solution

The third proportional to 309,132 and 674,100 is: 1,469,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,132 : 674,100 = 674,100 : x
  2. Step 2: Convert to fraction form
    309,132/674,100 = 674,100/x
  3. Step 3: Cross multiply
    309,132x = 674,100 × 674,100
  4. Step 4: Simplify right side
    309,132x = 454,410,810,000
  5. Step 5: Solve for x
    x = 454,410,810,000/309,132
  6. Step 6: Final answer
    x = 1,469,957.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.