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Finding the Third Proportional to 271,738 and 595,910

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Solution

The third proportional to 271,738 and 595,910 is: 1,306,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,738 : 595,910 = 595,910 : x
  2. Step 2: Convert to fraction form
    271,738/595,910 = 595,910/x
  3. Step 3: Cross multiply
    271,738x = 595,910 × 595,910
  4. Step 4: Simplify right side
    271,738x = 355,108,728,100
  5. Step 5: Solve for x
    x = 355,108,728,100/271,738
  6. Step 6: Final answer
    x = 1,306,805.56

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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.