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Finding the Third Proportional to 241,893 and 515,866

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Solution

The third proportional to 241,893 and 515,866 is: 1,100,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,893 : 515,866 = 515,866 : x
  2. Step 2: Convert to fraction form
    241,893/515,866 = 515,866/x
  3. Step 3: Cross multiply
    241,893x = 515,866 × 515,866
  4. Step 4: Simplify right side
    241,893x = 266,117,729,956
  5. Step 5: Solve for x
    x = 266,117,729,956/241,893
  6. Step 6: Final answer
    x = 1,100,146.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.