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Finding the Third Proportional to 267,366 and 594,500

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Solution

The third proportional to 267,366 and 594,500 is: 1,321,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,366 : 594,500 = 594,500 : x
  2. Step 2: Convert to fraction form
    267,366/594,500 = 594,500/x
  3. Step 3: Cross multiply
    267,366x = 594,500 × 594,500
  4. Step 4: Simplify right side
    267,366x = 353,430,250,000
  5. Step 5: Solve for x
    x = 353,430,250,000/267,366
  6. Step 6: Final answer
    x = 1,321,896.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.