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Finding the Third Proportional to 307,824 and 481,176

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Solution

The third proportional to 307,824 and 481,176 is: 752,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,824 : 481,176 = 481,176 : x
  2. Step 2: Convert to fraction form
    307,824/481,176 = 481,176/x
  3. Step 3: Cross multiply
    307,824x = 481,176 × 481,176
  4. Step 4: Simplify right side
    307,824x = 231,530,342,976
  5. Step 5: Solve for x
    x = 231,530,342,976/307,824
  6. Step 6: Final answer
    x = 752,151.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.