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Finding the Third Proportional to 378,452 and 567,734

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Solution

The third proportional to 378,452 and 567,734 is: 851,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,452 : 567,734 = 567,734 : x
  2. Step 2: Convert to fraction form
    378,452/567,734 = 567,734/x
  3. Step 3: Cross multiply
    378,452x = 567,734 × 567,734
  4. Step 4: Simplify right side
    378,452x = 322,321,894,756
  5. Step 5: Solve for x
    x = 322,321,894,756/378,452
  6. Step 6: Final answer
    x = 851,685.01

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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.