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Finding the Third Proportional to 276,340 and 591,884

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Solution

The third proportional to 276,340 and 591,884 is: 1,267,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,340 : 591,884 = 591,884 : x
  2. Step 2: Convert to fraction form
    276,340/591,884 = 591,884/x
  3. Step 3: Cross multiply
    276,340x = 591,884 × 591,884
  4. Step 4: Simplify right side
    276,340x = 350,326,669,456
  5. Step 5: Solve for x
    x = 350,326,669,456/276,340
  6. Step 6: Final answer
    x = 1,267,737.82

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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.