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Finding the Third Proportional to 267,978 and 558,008

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Solution

The third proportional to 267,978 and 558,008 is: 1,161,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,978 : 558,008 = 558,008 : x
  2. Step 2: Convert to fraction form
    267,978/558,008 = 558,008/x
  3. Step 3: Cross multiply
    267,978x = 558,008 × 558,008
  4. Step 4: Simplify right side
    267,978x = 311,372,928,064
  5. Step 5: Solve for x
    x = 311,372,928,064/267,978
  6. Step 6: Final answer
    x = 1,161,934.67

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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.