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Finding the Third Proportional to 251,848 and 548,003

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Solution

The third proportional to 251,848 and 548,003 is: 1,192,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,848 : 548,003 = 548,003 : x
  2. Step 2: Convert to fraction form
    251,848/548,003 = 548,003/x
  3. Step 3: Cross multiply
    251,848x = 548,003 × 548,003
  4. Step 4: Simplify right side
    251,848x = 300,307,288,009
  5. Step 5: Solve for x
    x = 300,307,288,009/251,848
  6. Step 6: Final answer
    x = 1,192,414.82

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