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Finding the Third Proportional to 271,732 and 576,350

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Solution

The third proportional to 271,732 and 576,350 is: 1,222,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,732 : 576,350 = 576,350 : x
  2. Step 2: Convert to fraction form
    271,732/576,350 = 576,350/x
  3. Step 3: Cross multiply
    271,732x = 576,350 × 576,350
  4. Step 4: Simplify right side
    271,732x = 332,179,322,500
  5. Step 5: Solve for x
    x = 332,179,322,500/271,732
  6. Step 6: Final answer
    x = 1,222,451.98

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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.