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Finding the Third Proportional to 267,554 and 356,678

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Solution

The third proportional to 267,554 and 356,678 is: 475,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,554 : 356,678 = 356,678 : x
  2. Step 2: Convert to fraction form
    267,554/356,678 = 356,678/x
  3. Step 3: Cross multiply
    267,554x = 356,678 × 356,678
  4. Step 4: Simplify right side
    267,554x = 127,219,195,684
  5. Step 5: Solve for x
    x = 127,219,195,684/267,554
  6. Step 6: Final answer
    x = 475,489.79

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.