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Finding the Third Proportional to 275,961 and 591,306

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Solution

The third proportional to 275,961 and 591,306 is: 1,267,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,961 : 591,306 = 591,306 : x
  2. Step 2: Convert to fraction form
    275,961/591,306 = 591,306/x
  3. Step 3: Cross multiply
    275,961x = 591,306 × 591,306
  4. Step 4: Simplify right side
    275,961x = 349,642,785,636
  5. Step 5: Solve for x
    x = 349,642,785,636/275,961
  6. Step 6: Final answer
    x = 1,267,000.72

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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.