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Finding the Third Proportional to 267,648 and 400,584

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Solution

The third proportional to 267,648 and 400,584 is: 599,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,648 : 400,584 = 400,584 : x
  2. Step 2: Convert to fraction form
    267,648/400,584 = 400,584/x
  3. Step 3: Cross multiply
    267,648x = 400,584 × 400,584
  4. Step 4: Simplify right side
    267,648x = 160,467,541,056
  5. Step 5: Solve for x
    x = 160,467,541,056/267,648
  6. Step 6: Final answer
    x = 599,546.95

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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.