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Finding the Third Proportional to 254,834 and 356,427

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Solution

The third proportional to 254,834 and 356,427 is: 498,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,834 : 356,427 = 356,427 : x
  2. Step 2: Convert to fraction form
    254,834/356,427 = 356,427/x
  3. Step 3: Cross multiply
    254,834x = 356,427 × 356,427
  4. Step 4: Simplify right side
    254,834x = 127,040,206,329
  5. Step 5: Solve for x
    x = 127,040,206,329/254,834
  6. Step 6: Final answer
    x = 498,521.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.