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Finding the Third Proportional to 251,264 and 546,812

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Solution

The third proportional to 251,264 and 546,812 is: 1,189,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,264 : 546,812 = 546,812 : x
  2. Step 2: Convert to fraction form
    251,264/546,812 = 546,812/x
  3. Step 3: Cross multiply
    251,264x = 546,812 × 546,812
  4. Step 4: Simplify right side
    251,264x = 299,003,363,344
  5. Step 5: Solve for x
    x = 299,003,363,344/251,264
  6. Step 6: Final answer
    x = 1,189,996.83

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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.