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Finding the Third Proportional to 308,037.38 and 674,143.31

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Solution

The third proportional to 308,037.38 and 674,143.31 is: 1,475,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,037.38 : 674,143.31 = 674,143.31 : x
  2. Step 2: Convert to fraction form
    308,037.38/674,143.31 = 674,143.31/x
  3. Step 3: Cross multiply
    308,037.38x = 674,143.31 × 674,143.31
  4. Step 4: Simplify right side
    308,037.38x = 454,469,205,788.47
  5. Step 5: Solve for x
    x = 454,469,205,788.47/308,037.38
  6. Step 6: Final answer
    x = 1,475,370.34

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