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Finding the Third Proportional to 218,976 and 481,056

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Solution

The third proportional to 218,976 and 481,056 is: 1,056,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,976 : 481,056 = 481,056 : x
  2. Step 2: Convert to fraction form
    218,976/481,056 = 481,056/x
  3. Step 3: Cross multiply
    218,976x = 481,056 × 481,056
  4. Step 4: Simplify right side
    218,976x = 231,414,875,136
  5. Step 5: Solve for x
    x = 231,414,875,136/218,976
  6. Step 6: Final answer
    x = 1,056,804.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.