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Finding the Third Proportional to 251,450 and 542,266

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Solution

The third proportional to 251,450 and 542,266 is: 1,169,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,450 : 542,266 = 542,266 : x
  2. Step 2: Convert to fraction form
    251,450/542,266 = 542,266/x
  3. Step 3: Cross multiply
    251,450x = 542,266 × 542,266
  4. Step 4: Simplify right side
    251,450x = 294,052,414,756
  5. Step 5: Solve for x
    x = 294,052,414,756/251,450
  6. Step 6: Final answer
    x = 1,169,426.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.