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Finding the Third Proportional to 379,017 and 567,942.75

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Solution

The third proportional to 379,017 and 567,942.75 is: 851,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,017 : 567,942.75 = 567,942.75 : x
  2. Step 2: Convert to fraction form
    379,017/567,942.75 = 567,942.75/x
  3. Step 3: Cross multiply
    379,017x = 567,942.75 × 567,942.75
  4. Step 4: Simplify right side
    379,017x = 322,558,967,277.56
  5. Step 5: Solve for x
    x = 322,558,967,277.56/379,017
  6. Step 6: Final answer
    x = 851,040.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.