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Finding the Third Proportional to 378,183.94 and 813,715.88

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Solution

The third proportional to 378,183.94 and 813,715.88 is: 1,750,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,183.94 : 813,715.88 = 813,715.88 : x
  2. Step 2: Convert to fraction form
    378,183.94/813,715.88 = 813,715.88/x
  3. Step 3: Cross multiply
    378,183.94x = 813,715.88 × 813,715.88
  4. Step 4: Simplify right side
    378,183.94x = 662,133,525,227.02
  5. Step 5: Solve for x
    x = 662,133,525,227.02/378,183.94
  6. Step 6: Final answer
    x = 1,750,824.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.