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Finding the Third Proportional to 378,675 and 568,984.50

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Solution

The third proportional to 378,675 and 568,984.50 is: 854,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,675 : 568,984.50 = 568,984.50 : x
  2. Step 2: Convert to fraction form
    378,675/568,984.50 = 568,984.50/x
  3. Step 3: Cross multiply
    378,675x = 568,984.50 × 568,984.50
  4. Step 4: Simplify right side
    378,675x = 323,743,361,240.25
  5. Step 5: Solve for x
    x = 323,743,361,240.25/378,675
  6. Step 6: Final answer
    x = 854,937.24

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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.