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Finding the Third Proportional to 388,813.50 and 796,997.25

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Solution

The third proportional to 388,813.50 and 796,997.25 is: 1,633,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,813.50 : 796,997.25 = 796,997.25 : x
  2. Step 2: Convert to fraction form
    388,813.50/796,997.25 = 796,997.25/x
  3. Step 3: Cross multiply
    388,813.50x = 796,997.25 × 796,997.25
  4. Step 4: Simplify right side
    388,813.50x = 635,204,616,507.56
  5. Step 5: Solve for x
    x = 635,204,616,507.56/388,813.50
  6. Step 6: Final answer
    x = 1,633,700.00

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.