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Finding the Third Proportional to 263,450 and 397,497

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Solution

The third proportional to 263,450 and 397,497 is: 599,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,450 : 397,497 = 397,497 : x
  2. Step 2: Convert to fraction form
    263,450/397,497 = 397,497/x
  3. Step 3: Cross multiply
    263,450x = 397,497 × 397,497
  4. Step 4: Simplify right side
    263,450x = 158,003,865,009
  5. Step 5: Solve for x
    x = 158,003,865,009/263,450
  6. Step 6: Final answer
    x = 599,748.97

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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.