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Finding the Third Proportional to 394,992 and 595,972

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Solution

The third proportional to 394,992 and 595,972 is: 899,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,992 : 595,972 = 595,972 : x
  2. Step 2: Convert to fraction form
    394,992/595,972 = 595,972/x
  3. Step 3: Cross multiply
    394,992x = 595,972 × 595,972
  4. Step 4: Simplify right side
    394,992x = 355,182,624,784
  5. Step 5: Solve for x
    x = 355,182,624,784/394,992
  6. Step 6: Final answer
    x = 899,214.73

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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.