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Finding the Third Proportional to 215,794 and 326,690

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Solution

The third proportional to 215,794 and 326,690 is: 494,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,794 : 326,690 = 326,690 : x
  2. Step 2: Convert to fraction form
    215,794/326,690 = 326,690/x
  3. Step 3: Cross multiply
    215,794x = 326,690 × 326,690
  4. Step 4: Simplify right side
    215,794x = 106,726,356,100
  5. Step 5: Solve for x
    x = 106,726,356,100/215,794
  6. Step 6: Final answer
    x = 494,575.18

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