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Finding the Third Proportional to 231,224 and 504,467

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Solution

The third proportional to 231,224 and 504,467 is: 1,100,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,224 : 504,467 = 504,467 : x
  2. Step 2: Convert to fraction form
    231,224/504,467 = 504,467/x
  3. Step 3: Cross multiply
    231,224x = 504,467 × 504,467
  4. Step 4: Simplify right side
    231,224x = 254,486,954,089
  5. Step 5: Solve for x
    x = 254,486,954,089/231,224
  6. Step 6: Final answer
    x = 1,100,607.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.