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Finding the Third Proportional to 271,904 and 551,401

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Solution

The third proportional to 271,904 and 551,401 is: 1,118,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904 : 551,401 = 551,401 : x
  2. Step 2: Convert to fraction form
    271,904/551,401 = 551,401/x
  3. Step 3: Cross multiply
    271,904x = 551,401 × 551,401
  4. Step 4: Simplify right side
    271,904x = 304,043,062,801
  5. Step 5: Solve for x
    x = 304,043,062,801/271,904
  6. Step 6: Final answer
    x = 1,118,200.04

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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.