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Finding the Third Proportional to 241,859 and 503,569

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Solution

The third proportional to 241,859 and 503,569 is: 1,048,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,859 : 503,569 = 503,569 : x
  2. Step 2: Convert to fraction form
    241,859/503,569 = 503,569/x
  3. Step 3: Cross multiply
    241,859x = 503,569 × 503,569
  4. Step 4: Simplify right side
    241,859x = 253,581,737,761
  5. Step 5: Solve for x
    x = 253,581,737,761/241,859
  6. Step 6: Final answer
    x = 1,048,469.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.