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Finding the Third Proportional to 272,880 and 420,976

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Solution

The third proportional to 272,880 and 420,976 is: 649,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,880 : 420,976 = 420,976 : x
  2. Step 2: Convert to fraction form
    272,880/420,976 = 420,976/x
  3. Step 3: Cross multiply
    272,880x = 420,976 × 420,976
  4. Step 4: Simplify right side
    272,880x = 177,220,792,576
  5. Step 5: Solve for x
    x = 177,220,792,576/272,880
  6. Step 6: Final answer
    x = 649,445.88

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