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Finding the Third Proportional to 259,872 and 559,848

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Solution

The third proportional to 259,872 and 559,848 is: 1,206,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872 : 559,848 = 559,848 : x
  2. Step 2: Convert to fraction form
    259,872/559,848 = 559,848/x
  3. Step 3: Cross multiply
    259,872x = 559,848 × 559,848
  4. Step 4: Simplify right side
    259,872x = 313,429,783,104
  5. Step 5: Solve for x
    x = 313,429,783,104/259,872
  6. Step 6: Final answer
    x = 1,206,092.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.