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Finding the Third Proportional to 239,976 and 364,824

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Solution

The third proportional to 239,976 and 364,824 is: 554,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,976 : 364,824 = 364,824 : x
  2. Step 2: Convert to fraction form
    239,976/364,824 = 364,824/x
  3. Step 3: Cross multiply
    239,976x = 364,824 × 364,824
  4. Step 4: Simplify right side
    239,976x = 133,096,550,976
  5. Step 5: Solve for x
    x = 133,096,550,976/239,976
  6. Step 6: Final answer
    x = 554,624.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.