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Finding the Third Proportional to 220,036 and 481,288

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Solution

The third proportional to 220,036 and 481,288 is: 1,052,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,036 : 481,288 = 481,288 : x
  2. Step 2: Convert to fraction form
    220,036/481,288 = 481,288/x
  3. Step 3: Cross multiply
    220,036x = 481,288 × 481,288
  4. Step 4: Simplify right side
    220,036x = 231,638,138,944
  5. Step 5: Solve for x
    x = 231,638,138,944/220,036
  6. Step 6: Final answer
    x = 1,052,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.