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Finding the Third Proportional to 180,578 and 394,468

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Solution

The third proportional to 180,578 and 394,468 is: 861,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578 : 394,468 = 394,468 : x
  2. Step 2: Convert to fraction form
    180,578/394,468 = 394,468/x
  3. Step 3: Cross multiply
    180,578x = 394,468 × 394,468
  4. Step 4: Simplify right side
    180,578x = 155,605,003,024
  5. Step 5: Solve for x
    x = 155,605,003,024/180,578
  6. Step 6: Final answer
    x = 861,705.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.