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Finding the Third Proportional to 272,096 and 587,912

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Solution

The third proportional to 272,096 and 587,912 is: 1,270,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,096 : 587,912 = 587,912 : x
  2. Step 2: Convert to fraction form
    272,096/587,912 = 587,912/x
  3. Step 3: Cross multiply
    272,096x = 587,912 × 587,912
  4. Step 4: Simplify right side
    272,096x = 345,640,519,744
  5. Step 5: Solve for x
    x = 345,640,519,744/272,096
  6. Step 6: Final answer
    x = 1,270,288.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.