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Finding the Third Proportional to 267,974.50 and 558,001

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Solution

The third proportional to 267,974.50 and 558,001 is: 1,161,920.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,974.50 : 558,001 = 558,001 : x
  2. Step 2: Convert to fraction form
    267,974.50/558,001 = 558,001/x
  3. Step 3: Cross multiply
    267,974.50x = 558,001 × 558,001
  4. Step 4: Simplify right side
    267,974.50x = 311,365,116,001
  5. Step 5: Solve for x
    x = 311,365,116,001/267,974.50
  6. Step 6: Final answer
    x = 1,161,920.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.