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Finding the Third Proportional to 394,993 and 595,979

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Solution

The third proportional to 394,993 and 595,979 is: 899,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,993 : 595,979 = 595,979 : x
  2. Step 2: Convert to fraction form
    394,993/595,979 = 595,979/x
  3. Step 3: Cross multiply
    394,993x = 595,979 × 595,979
  4. Step 4: Simplify right side
    394,993x = 355,190,968,441
  5. Step 5: Solve for x
    x = 355,190,968,441/394,993
  6. Step 6: Final answer
    x = 899,233.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.