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Finding the Third Proportional to 271,744 and 555,584

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Solution

The third proportional to 271,744 and 555,584 is: 1,135,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,744 : 555,584 = 555,584 : x
  2. Step 2: Convert to fraction form
    271,744/555,584 = 555,584/x
  3. Step 3: Cross multiply
    271,744x = 555,584 × 555,584
  4. Step 4: Simplify right side
    271,744x = 308,673,581,056
  5. Step 5: Solve for x
    x = 308,673,581,056/271,744
  6. Step 6: Final answer
    x = 1,135,898.42

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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.