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Finding the Third Proportional to 259,722 and 567,504

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Solution

The third proportional to 259,722 and 567,504 is: 1,240,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722 : 567,504 = 567,504 : x
  2. Step 2: Convert to fraction form
    259,722/567,504 = 567,504/x
  3. Step 3: Cross multiply
    259,722x = 567,504 × 567,504
  4. Step 4: Simplify right side
    259,722x = 322,060,790,016
  5. Step 5: Solve for x
    x = 322,060,790,016/259,722
  6. Step 6: Final answer
    x = 1,240,021.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.