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Finding the Third Proportional to 251,325 and 547,811

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Solution

The third proportional to 251,325 and 547,811 is: 1,194,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,325 : 547,811 = 547,811 : x
  2. Step 2: Convert to fraction form
    251,325/547,811 = 547,811/x
  3. Step 3: Cross multiply
    251,325x = 547,811 × 547,811
  4. Step 4: Simplify right side
    251,325x = 300,096,891,721
  5. Step 5: Solve for x
    x = 300,096,891,721/251,325
  6. Step 6: Final answer
    x = 1,194,059.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.