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Finding the Third Proportional to 241,796 and 522,520

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Solution

The third proportional to 241,796 and 522,520 is: 1,129,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,796 : 522,520 = 522,520 : x
  2. Step 2: Convert to fraction form
    241,796/522,520 = 522,520/x
  3. Step 3: Cross multiply
    241,796x = 522,520 × 522,520
  4. Step 4: Simplify right side
    241,796x = 273,027,150,400
  5. Step 5: Solve for x
    x = 273,027,150,400/241,796
  6. Step 6: Final answer
    x = 1,129,163.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.