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Finding the Third Proportional to 190,602 and 396,992

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Solution

The third proportional to 190,602 and 396,992 is: 826,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,602 : 396,992 = 396,992 : x
  2. Step 2: Convert to fraction form
    190,602/396,992 = 396,992/x
  3. Step 3: Cross multiply
    190,602x = 396,992 × 396,992
  4. Step 4: Simplify right side
    190,602x = 157,602,648,064
  5. Step 5: Solve for x
    x = 157,602,648,064/190,602
  6. Step 6: Final answer
    x = 826,867.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.