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Finding the Third Proportional to 263,880 and 536,976

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Solution

The third proportional to 263,880 and 536,976 is: 1,092,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,880 : 536,976 = 536,976 : x
  2. Step 2: Convert to fraction form
    263,880/536,976 = 536,976/x
  3. Step 3: Cross multiply
    263,880x = 536,976 × 536,976
  4. Step 4: Simplify right side
    263,880x = 288,343,224,576
  5. Step 5: Solve for x
    x = 288,343,224,576/263,880
  6. Step 6: Final answer
    x = 1,092,705.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.