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Finding the Third Proportional to 271,593 and 354,861

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Solution

The third proportional to 271,593 and 354,861 is: 463,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,593 : 354,861 = 354,861 : x
  2. Step 2: Convert to fraction form
    271,593/354,861 = 354,861/x
  3. Step 3: Cross multiply
    271,593x = 354,861 × 354,861
  4. Step 4: Simplify right side
    271,593x = 125,926,329,321
  5. Step 5: Solve for x
    x = 125,926,329,321/271,593
  6. Step 6: Final answer
    x = 463,658.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.