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Finding the Third Proportional to 259,908 and 567,444

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Solution

The third proportional to 259,908 and 567,444 is: 1,238,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,908 : 567,444 = 567,444 : x
  2. Step 2: Convert to fraction form
    259,908/567,444 = 567,444/x
  3. Step 3: Cross multiply
    259,908x = 567,444 × 567,444
  4. Step 4: Simplify right side
    259,908x = 321,992,693,136
  5. Step 5: Solve for x
    x = 321,992,693,136/259,908
  6. Step 6: Final answer
    x = 1,238,871.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.