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Finding the Third Proportional to 241,405 and 530,067

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Solution

The third proportional to 241,405 and 530,067 is: 1,163,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,405 : 530,067 = 530,067 : x
  2. Step 2: Convert to fraction form
    241,405/530,067 = 530,067/x
  3. Step 3: Cross multiply
    241,405x = 530,067 × 530,067
  4. Step 4: Simplify right side
    241,405x = 280,971,024,489
  5. Step 5: Solve for x
    x = 280,971,024,489/241,405
  6. Step 6: Final answer
    x = 1,163,898.94

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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.