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Finding the Third Proportional to 231,234 and 504,377

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Solution

The third proportional to 231,234 and 504,377 is: 1,100,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,234 : 504,377 = 504,377 : x
  2. Step 2: Convert to fraction form
    231,234/504,377 = 504,377/x
  3. Step 3: Cross multiply
    231,234x = 504,377 × 504,377
  4. Step 4: Simplify right side
    231,234x = 254,396,158,129
  5. Step 5: Solve for x
    x = 254,396,158,129/231,234
  6. Step 6: Final answer
    x = 1,100,167.61

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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.