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Finding the Third Proportional to 251,850 and 548,007

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Solution

The third proportional to 251,850 and 548,007 is: 1,192,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,850 : 548,007 = 548,007 : x
  2. Step 2: Convert to fraction form
    251,850/548,007 = 548,007/x
  3. Step 3: Cross multiply
    251,850x = 548,007 × 548,007
  4. Step 4: Simplify right side
    251,850x = 300,311,672,049
  5. Step 5: Solve for x
    x = 300,311,672,049/251,850
  6. Step 6: Final answer
    x = 1,192,422.76

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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.