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Finding the Third Proportional to 271,487 and 584,401

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Solution

The third proportional to 271,487 and 584,401 is: 1,257,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,487 : 584,401 = 584,401 : x
  2. Step 2: Convert to fraction form
    271,487/584,401 = 584,401/x
  3. Step 3: Cross multiply
    271,487x = 584,401 × 584,401
  4. Step 4: Simplify right side
    271,487x = 341,524,528,801
  5. Step 5: Solve for x
    x = 341,524,528,801/271,487
  6. Step 6: Final answer
    x = 1,257,977.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.