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Finding the Third Proportional to 231,947 and 494,269

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Solution

The third proportional to 231,947 and 494,269 is: 1,053,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,947 : 494,269 = 494,269 : x
  2. Step 2: Convert to fraction form
    231,947/494,269 = 494,269/x
  3. Step 3: Cross multiply
    231,947x = 494,269 × 494,269
  4. Step 4: Simplify right side
    231,947x = 244,301,844,361
  5. Step 5: Solve for x
    x = 244,301,844,361/231,947
  6. Step 6: Final answer
    x = 1,053,265.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.