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Finding the Third Proportional to 267,104 and 399,808

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Solution

The third proportional to 267,104 and 399,808 is: 598,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,104 : 399,808 = 399,808 : x
  2. Step 2: Convert to fraction form
    267,104/399,808 = 399,808/x
  3. Step 3: Cross multiply
    267,104x = 399,808 × 399,808
  4. Step 4: Simplify right side
    267,104x = 159,846,436,864
  5. Step 5: Solve for x
    x = 159,846,436,864/267,104
  6. Step 6: Final answer
    x = 598,442.69

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