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Finding the Third Proportional to 267,112 and 399,820

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Solution

The third proportional to 267,112 and 399,820 is: 598,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,112 : 399,820 = 399,820 : x
  2. Step 2: Convert to fraction form
    267,112/399,820 = 399,820/x
  3. Step 3: Cross multiply
    267,112x = 399,820 × 399,820
  4. Step 4: Simplify right side
    267,112x = 159,856,032,400
  5. Step 5: Solve for x
    x = 159,856,032,400/267,112
  6. Step 6: Final answer
    x = 598,460.69

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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.