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Finding the Third Proportional to 275,862 and 591,096

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Solution

The third proportional to 275,862 and 591,096 is: 1,266,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,862 : 591,096 = 591,096 : x
  2. Step 2: Convert to fraction form
    275,862/591,096 = 591,096/x
  3. Step 3: Cross multiply
    275,862x = 591,096 × 591,096
  4. Step 4: Simplify right side
    275,862x = 349,394,481,216
  5. Step 5: Solve for x
    x = 349,394,481,216/275,862
  6. Step 6: Final answer
    x = 1,266,555.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.