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Finding the Third Proportional to 271,566 and 411,722

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Solution

The third proportional to 271,566 and 411,722 is: 624,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566 : 411,722 = 411,722 : x
  2. Step 2: Convert to fraction form
    271,566/411,722 = 411,722/x
  3. Step 3: Cross multiply
    271,566x = 411,722 × 411,722
  4. Step 4: Simplify right side
    271,566x = 169,515,005,284
  5. Step 5: Solve for x
    x = 169,515,005,284/271,566
  6. Step 6: Final answer
    x = 624,212.92

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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.