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Finding the Third Proportional to 271,728 and 576,342

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Solution

The third proportional to 271,728 and 576,342 is: 1,222,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,728 : 576,342 = 576,342 : x
  2. Step 2: Convert to fraction form
    271,728/576,342 = 576,342/x
  3. Step 3: Cross multiply
    271,728x = 576,342 × 576,342
  4. Step 4: Simplify right side
    271,728x = 332,170,100,964
  5. Step 5: Solve for x
    x = 332,170,100,964/271,728
  6. Step 6: Final answer
    x = 1,222,436.04

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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.