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Finding the Third Proportional to 263,236 and 397,223

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Solution

The third proportional to 263,236 and 397,223 is: 599,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,236 : 397,223 = 397,223 : x
  2. Step 2: Convert to fraction form
    263,236/397,223 = 397,223/x
  3. Step 3: Cross multiply
    263,236x = 397,223 × 397,223
  4. Step 4: Simplify right side
    263,236x = 157,786,111,729
  5. Step 5: Solve for x
    x = 157,786,111,729/263,236
  6. Step 6: Final answer
    x = 599,409.32

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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.