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Finding the Third Proportional to 267,222 and 399,537

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Solution

The third proportional to 267,222 and 399,537 is: 597,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,222 : 399,537 = 399,537 : x
  2. Step 2: Convert to fraction form
    267,222/399,537 = 399,537/x
  3. Step 3: Cross multiply
    267,222x = 399,537 × 399,537
  4. Step 4: Simplify right side
    267,222x = 159,629,814,369
  5. Step 5: Solve for x
    x = 159,629,814,369/267,222
  6. Step 6: Final answer
    x = 597,367.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.