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Finding the Third Proportional to 271,556 and 411,850

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Solution

The third proportional to 271,556 and 411,850 is: 624,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,556 : 411,850 = 411,850 : x
  2. Step 2: Convert to fraction form
    271,556/411,850 = 411,850/x
  3. Step 3: Cross multiply
    271,556x = 411,850 × 411,850
  4. Step 4: Simplify right side
    271,556x = 169,620,422,500
  5. Step 5: Solve for x
    x = 169,620,422,500/271,556
  6. Step 6: Final answer
    x = 624,624.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.