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Finding the Third Proportional to 378,669.94 and 582,000.19

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Solution

The third proportional to 378,669.94 and 582,000.19 is: 894,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,669.94 : 582,000.19 = 582,000.19 : x
  2. Step 2: Convert to fraction form
    378,669.94/582,000.19 = 582,000.19/x
  3. Step 3: Cross multiply
    378,669.94x = 582,000.19 × 582,000.19
  4. Step 4: Simplify right side
    378,669.94x = 338,724,218,250.04
  5. Step 5: Solve for x
    x = 338,724,218,250.04/378,669.94
  6. Step 6: Final answer
    x = 894,510.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.