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Finding the Third Proportional to 276,338 and 591,880

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Solution

The third proportional to 276,338 and 591,880 is: 1,267,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,338 : 591,880 = 591,880 : x
  2. Step 2: Convert to fraction form
    276,338/591,880 = 591,880/x
  3. Step 3: Cross multiply
    276,338x = 591,880 × 591,880
  4. Step 4: Simplify right side
    276,338x = 350,321,934,400
  5. Step 5: Solve for x
    x = 350,321,934,400/276,338
  6. Step 6: Final answer
    x = 1,267,729.86

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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.