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Finding the Third Proportional to 267,954 and 426,531

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Solution

The third proportional to 267,954 and 426,531 is: 678,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,954 : 426,531 = 426,531 : x
  2. Step 2: Convert to fraction form
    267,954/426,531 = 426,531/x
  3. Step 3: Cross multiply
    267,954x = 426,531 × 426,531
  4. Step 4: Simplify right side
    267,954x = 181,928,693,961
  5. Step 5: Solve for x
    x = 181,928,693,961/267,954
  6. Step 6: Final answer
    x = 678,954.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.