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Finding the Third Proportional to 388,050.75 and 823,061.25

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Solution

The third proportional to 388,050.75 and 823,061.25 is: 1,745,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,050.75 : 823,061.25 = 823,061.25 : x
  2. Step 2: Convert to fraction form
    388,050.75/823,061.25 = 823,061.25/x
  3. Step 3: Cross multiply
    388,050.75x = 823,061.25 × 823,061.25
  4. Step 4: Simplify right side
    388,050.75x = 677,429,821,251.56
  5. Step 5: Solve for x
    x = 677,429,821,251.56/388,050.75
  6. Step 6: Final answer
    x = 1,745,724.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.