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Finding the Third Proportional to 213,512 and 494,228

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Solution

The third proportional to 213,512 and 494,228 is: 1,144,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,512 : 494,228 = 494,228 : x
  2. Step 2: Convert to fraction form
    213,512/494,228 = 494,228/x
  3. Step 3: Cross multiply
    213,512x = 494,228 × 494,228
  4. Step 4: Simplify right side
    213,512x = 244,261,315,984
  5. Step 5: Solve for x
    x = 244,261,315,984/213,512
  6. Step 6: Final answer
    x = 1,144,016.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.