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Finding the Third Proportional to 381,843 and 754,049.25

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Solution

The third proportional to 381,843 and 754,049.25 is: 1,489,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,843 : 754,049.25 = 754,049.25 : x
  2. Step 2: Convert to fraction form
    381,843/754,049.25 = 754,049.25/x
  3. Step 3: Cross multiply
    381,843x = 754,049.25 × 754,049.25
  4. Step 4: Simplify right side
    381,843x = 568,590,271,425.56
  5. Step 5: Solve for x
    x = 568,590,271,425.56/381,843
  6. Step 6: Final answer
    x = 1,489,068.21

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.