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Finding the Third Proportional to 404,412.75 and 582,562.13

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Solution

The third proportional to 404,412.75 and 582,562.13 is: 839,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,412.75 : 582,562.13 = 582,562.13 : x
  2. Step 2: Convert to fraction form
    404,412.75/582,562.13 = 582,562.13/x
  3. Step 3: Cross multiply
    404,412.75x = 582,562.13 × 582,562.13
  4. Step 4: Simplify right side
    404,412.75x = 339,378,629,484.52
  5. Step 5: Solve for x
    x = 339,378,629,484.52/404,412.75
  6. Step 6: Final answer
    x = 839,188.75

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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.