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Finding the Third Proportional to 271,728 and 558,576

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Solution

The third proportional to 271,728 and 558,576 is: 1,148,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,728 : 558,576 = 558,576 : x
  2. Step 2: Convert to fraction form
    271,728/558,576 = 558,576/x
  3. Step 3: Cross multiply
    271,728x = 558,576 × 558,576
  4. Step 4: Simplify right side
    271,728x = 312,007,147,776
  5. Step 5: Solve for x
    x = 312,007,147,776/271,728
  6. Step 6: Final answer
    x = 1,148,233.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.