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Finding the Third Proportional to 241,443 and 524,866

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Solution

The third proportional to 241,443 and 524,866 is: 1,140,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,443 : 524,866 = 524,866 : x
  2. Step 2: Convert to fraction form
    241,443/524,866 = 524,866/x
  3. Step 3: Cross multiply
    241,443x = 524,866 × 524,866
  4. Step 4: Simplify right side
    241,443x = 275,484,317,956
  5. Step 5: Solve for x
    x = 275,484,317,956/241,443
  6. Step 6: Final answer
    x = 1,140,991.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.