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Finding the Third Proportional to 231,696 and 541,311

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Solution

The third proportional to 231,696 and 541,311 is: 1,264,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,696 : 541,311 = 541,311 : x
  2. Step 2: Convert to fraction form
    231,696/541,311 = 541,311/x
  3. Step 3: Cross multiply
    231,696x = 541,311 × 541,311
  4. Step 4: Simplify right side
    231,696x = 293,017,598,721
  5. Step 5: Solve for x
    x = 293,017,598,721/231,696
  6. Step 6: Final answer
    x = 1,264,664.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.