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Finding the Third Proportional to 270,812 and 378,600

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Solution

The third proportional to 270,812 and 378,600 is: 529,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,812 : 378,600 = 378,600 : x
  2. Step 2: Convert to fraction form
    270,812/378,600 = 378,600/x
  3. Step 3: Cross multiply
    270,812x = 378,600 × 378,600
  4. Step 4: Simplify right side
    270,812x = 143,337,960,000
  5. Step 5: Solve for x
    x = 143,337,960,000/270,812
  6. Step 6: Final answer
    x = 529,289.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.