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Finding the Third Proportional to 271,750 and 555,596

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Solution

The third proportional to 271,750 and 555,596 is: 1,135,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,750 : 555,596 = 555,596 : x
  2. Step 2: Convert to fraction form
    271,750/555,596 = 555,596/x
  3. Step 3: Cross multiply
    271,750x = 555,596 × 555,596
  4. Step 4: Simplify right side
    271,750x = 308,686,915,216
  5. Step 5: Solve for x
    x = 308,686,915,216/271,750
  6. Step 6: Final answer
    x = 1,135,922.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.