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Finding the Third Proportional to 271,957 and 576,330

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Solution

The third proportional to 271,957 and 576,330 is: 1,221,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,957 : 576,330 = 576,330 : x
  2. Step 2: Convert to fraction form
    271,957/576,330 = 576,330/x
  3. Step 3: Cross multiply
    271,957x = 576,330 × 576,330
  4. Step 4: Simplify right side
    271,957x = 332,156,268,900
  5. Step 5: Solve for x
    x = 332,156,268,900/271,957
  6. Step 6: Final answer
    x = 1,221,355.84

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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.