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Finding the Third Proportional to 276,720 and 597,027

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Solution

The third proportional to 276,720 and 597,027 is: 1,288,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,720 : 597,027 = 597,027 : x
  2. Step 2: Convert to fraction form
    276,720/597,027 = 597,027/x
  3. Step 3: Cross multiply
    276,720x = 597,027 × 597,027
  4. Step 4: Simplify right side
    276,720x = 356,441,238,729
  5. Step 5: Solve for x
    x = 356,441,238,729/276,720
  6. Step 6: Final answer
    x = 1,288,093.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.