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Finding the Third Proportional to 276,147 and 591,615

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Solution

The third proportional to 276,147 and 591,615 is: 1,267,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,147 : 591,615 = 591,615 : x
  2. Step 2: Convert to fraction form
    276,147/591,615 = 591,615/x
  3. Step 3: Cross multiply
    276,147x = 591,615 × 591,615
  4. Step 4: Simplify right side
    276,147x = 350,008,308,225
  5. Step 5: Solve for x
    x = 350,008,308,225/276,147
  6. Step 6: Final answer
    x = 1,267,470.98

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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.