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Finding the Third Proportional to 271,704 and 597,200

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Solution

The third proportional to 271,704 and 597,200 is: 1,312,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,704 : 597,200 = 597,200 : x
  2. Step 2: Convert to fraction form
    271,704/597,200 = 597,200/x
  3. Step 3: Cross multiply
    271,704x = 597,200 × 597,200
  4. Step 4: Simplify right side
    271,704x = 356,647,840,000
  5. Step 5: Solve for x
    x = 356,647,840,000/271,704
  6. Step 6: Final answer
    x = 1,312,633.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.