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Finding the Third Proportional to 241,174 and 523,866

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Solution

The third proportional to 241,174 and 523,866 is: 1,137,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,174 : 523,866 = 523,866 : x
  2. Step 2: Convert to fraction form
    241,174/523,866 = 523,866/x
  3. Step 3: Cross multiply
    241,174x = 523,866 × 523,866
  4. Step 4: Simplify right side
    241,174x = 274,435,585,956
  5. Step 5: Solve for x
    x = 274,435,585,956/241,174
  6. Step 6: Final answer
    x = 1,137,915.31

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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.