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Finding the Third Proportional to 221,464.13 and 483,524.44

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Solution

The third proportional to 221,464.13 and 483,524.44 is: 1,055,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464.13 : 483,524.44 = 483,524.44 : x
  2. Step 2: Convert to fraction form
    221,464.13/483,524.44 = 483,524.44/x
  3. Step 3: Cross multiply
    221,464.13x = 483,524.44 × 483,524.44
  4. Step 4: Simplify right side
    221,464.13x = 233,795,881,659.69
  5. Step 5: Solve for x
    x = 233,795,881,659.69/221,464.13
  6. Step 6: Final answer
    x = 1,055,682.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.