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Finding the Third Proportional to 276,012 and 591,372

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Solution

The third proportional to 276,012 and 591,372 is: 1,267,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,012 : 591,372 = 591,372 : x
  2. Step 2: Convert to fraction form
    276,012/591,372 = 591,372/x
  3. Step 3: Cross multiply
    276,012x = 591,372 × 591,372
  4. Step 4: Simplify right side
    276,012x = 349,720,842,384
  5. Step 5: Solve for x
    x = 349,720,842,384/276,012
  6. Step 6: Final answer
    x = 1,267,049.41

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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.