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Finding the Third Proportional to 271,774 and 576,434

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Solution

The third proportional to 271,774 and 576,434 is: 1,222,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,774 : 576,434 = 576,434 : x
  2. Step 2: Convert to fraction form
    271,774/576,434 = 576,434/x
  3. Step 3: Cross multiply
    271,774x = 576,434 × 576,434
  4. Step 4: Simplify right side
    271,774x = 332,276,156,356
  5. Step 5: Solve for x
    x = 332,276,156,356/271,774
  6. Step 6: Final answer
    x = 1,222,619.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.