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Finding the Third Proportional to 361,404 and 482,976

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Solution

The third proportional to 361,404 and 482,976 is: 645,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,404 : 482,976 = 482,976 : x
  2. Step 2: Convert to fraction form
    361,404/482,976 = 482,976/x
  3. Step 3: Cross multiply
    361,404x = 482,976 × 482,976
  4. Step 4: Simplify right side
    361,404x = 233,265,816,576
  5. Step 5: Solve for x
    x = 233,265,816,576/361,404
  6. Step 6: Final answer
    x = 645,443.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.