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Finding the Third Proportional to 180,576 and 394,464

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Solution

The third proportional to 180,576 and 394,464 is: 861,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,576 : 394,464 = 394,464 : x
  2. Step 2: Convert to fraction form
    180,576/394,464 = 394,464/x
  3. Step 3: Cross multiply
    180,576x = 394,464 × 394,464
  4. Step 4: Simplify right side
    180,576x = 155,601,847,296
  5. Step 5: Solve for x
    x = 155,601,847,296/180,576
  6. Step 6: Final answer
    x = 861,697.28

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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.