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Finding the Third Proportional to 271,934.25 and 576,285

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Solution

The third proportional to 271,934.25 and 576,285 is: 1,221,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,934.25 : 576,285 = 576,285 : x
  2. Step 2: Convert to fraction form
    271,934.25/576,285 = 576,285/x
  3. Step 3: Cross multiply
    271,934.25x = 576,285 × 576,285
  4. Step 4: Simplify right side
    271,934.25x = 332,104,401,225
  5. Step 5: Solve for x
    x = 332,104,401,225/271,934.25
  6. Step 6: Final answer
    x = 1,221,267.28

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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.