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Finding the Third Proportional to 447,727.50 and 967,626

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Solution

The third proportional to 447,727.50 and 967,626 is: 2,091,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,727.50 : 967,626 = 967,626 : x
  2. Step 2: Convert to fraction form
    447,727.50/967,626 = 967,626/x
  3. Step 3: Cross multiply
    447,727.50x = 967,626 × 967,626
  4. Step 4: Simplify right side
    447,727.50x = 936,300,075,876
  5. Step 5: Solve for x
    x = 936,300,075,876/447,727.50
  6. Step 6: Final answer
    x = 2,091,227.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.