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Finding the Third Proportional to 271,768 and 411,756

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Solution

The third proportional to 271,768 and 411,756 is: 623,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,768 : 411,756 = 411,756 : x
  2. Step 2: Convert to fraction form
    271,768/411,756 = 411,756/x
  3. Step 3: Cross multiply
    271,768x = 411,756 × 411,756
  4. Step 4: Simplify right side
    271,768x = 169,543,003,536
  5. Step 5: Solve for x
    x = 169,543,003,536/271,768
  6. Step 6: Final answer
    x = 623,851.97

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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.