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Finding the Third Proportional to 395,296 and 582,504

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Solution

The third proportional to 395,296 and 582,504 is: 858,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,296 : 582,504 = 582,504 : x
  2. Step 2: Convert to fraction form
    395,296/582,504 = 582,504/x
  3. Step 3: Cross multiply
    395,296x = 582,504 × 582,504
  4. Step 4: Simplify right side
    395,296x = 339,310,910,016
  5. Step 5: Solve for x
    x = 339,310,910,016/395,296
  6. Step 6: Final answer
    x = 858,371.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.