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Finding the Third Proportional to 538,280 and 796,996

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Solution

The third proportional to 538,280 and 796,996 is: 1,180,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,280 : 796,996 = 796,996 : x
  2. Step 2: Convert to fraction form
    538,280/796,996 = 796,996/x
  3. Step 3: Cross multiply
    538,280x = 796,996 × 796,996
  4. Step 4: Simplify right side
    538,280x = 635,202,624,016
  5. Step 5: Solve for x
    x = 635,202,624,016/538,280
  6. Step 6: Final answer
    x = 1,180,059.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.