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Finding the Third Proportional to 272,328 and 419,976

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Solution

The third proportional to 272,328 and 419,976 is: 647,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,328 : 419,976 = 419,976 : x
  2. Step 2: Convert to fraction form
    272,328/419,976 = 419,976/x
  3. Step 3: Cross multiply
    272,328x = 419,976 × 419,976
  4. Step 4: Simplify right side
    272,328x = 176,379,840,576
  5. Step 5: Solve for x
    x = 176,379,840,576/272,328
  6. Step 6: Final answer
    x = 647,674.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.