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Finding the Third Proportional to 271,791 and 576,468

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Solution

The third proportional to 271,791 and 576,468 is: 1,222,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,791 : 576,468 = 576,468 : x
  2. Step 2: Convert to fraction form
    271,791/576,468 = 576,468/x
  3. Step 3: Cross multiply
    271,791x = 576,468 × 576,468
  4. Step 4: Simplify right side
    271,791x = 332,315,355,024
  5. Step 5: Solve for x
    x = 332,315,355,024/271,791
  6. Step 6: Final answer
    x = 1,222,687.12

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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.