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Finding the Third Proportional to 308,049.75 and 674,073.56

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Solution

The third proportional to 308,049.75 and 674,073.56 is: 1,475,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.75 : 674,073.56 = 674,073.56 : x
  2. Step 2: Convert to fraction form
    308,049.75/674,073.56 = 674,073.56/x
  3. Step 3: Cross multiply
    308,049.75x = 674,073.56 × 674,073.56
  4. Step 4: Simplify right side
    308,049.75x = 454,375,167,661.44
  5. Step 5: Solve for x
    x = 454,375,167,661.44/308,049.75
  6. Step 6: Final answer
    x = 1,475,005.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.