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Finding the Third Proportional to 271,344 and 550,077

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Solution

The third proportional to 271,344 and 550,077 is: 1,115,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,344 : 550,077 = 550,077 : x
  2. Step 2: Convert to fraction form
    271,344/550,077 = 550,077/x
  3. Step 3: Cross multiply
    271,344x = 550,077 × 550,077
  4. Step 4: Simplify right side
    271,344x = 302,584,705,929
  5. Step 5: Solve for x
    x = 302,584,705,929/271,344
  6. Step 6: Final answer
    x = 1,115,133.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.