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Finding the Third Proportional to 363,867.75 and 567,942.75

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Solution

The third proportional to 363,867.75 and 567,942.75 is: 886,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,867.75 : 567,942.75 = 567,942.75 : x
  2. Step 2: Convert to fraction form
    363,867.75/567,942.75 = 567,942.75/x
  3. Step 3: Cross multiply
    363,867.75x = 567,942.75 × 567,942.75
  4. Step 4: Simplify right side
    363,867.75x = 322,558,967,277.56
  5. Step 5: Solve for x
    x = 322,558,967,277.56/363,867.75
  6. Step 6: Final answer
    x = 886,473.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.