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Finding the Third Proportional to 267,732 and 576,936

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Solution

The third proportional to 267,732 and 576,936 is: 1,243,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,732 : 576,936 = 576,936 : x
  2. Step 2: Convert to fraction form
    267,732/576,936 = 576,936/x
  3. Step 3: Cross multiply
    267,732x = 576,936 × 576,936
  4. Step 4: Simplify right side
    267,732x = 332,855,148,096
  5. Step 5: Solve for x
    x = 332,855,148,096/267,732
  6. Step 6: Final answer
    x = 1,243,240.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.