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Finding the Third Proportional to 404,571.94 and 582,760.13

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Solution

The third proportional to 404,571.94 and 582,760.13 is: 839,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,571.94 : 582,760.13 = 582,760.13 : x
  2. Step 2: Convert to fraction form
    404,571.94/582,760.13 = 582,760.13/x
  3. Step 3: Cross multiply
    404,571.94x = 582,760.13 × 582,760.13
  4. Step 4: Simplify right side
    404,571.94x = 339,609,363,290.02
  5. Step 5: Solve for x
    x = 339,609,363,290.02/404,571.94
  6. Step 6: Final answer
    x = 839,428.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.