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Finding the Third Proportional to 271,085 and 593,866

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Solution

The third proportional to 271,085 and 593,866 is: 1,300,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,085 : 593,866 = 593,866 : x
  2. Step 2: Convert to fraction form
    271,085/593,866 = 593,866/x
  3. Step 3: Cross multiply
    271,085x = 593,866 × 593,866
  4. Step 4: Simplify right side
    271,085x = 352,676,825,956
  5. Step 5: Solve for x
    x = 352,676,825,956/271,085
  6. Step 6: Final answer
    x = 1,300,982.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.