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Finding the Third Proportional to 259,353 and 605,769

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Solution

The third proportional to 259,353 and 605,769 is: 1,414,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,353 : 605,769 = 605,769 : x
  2. Step 2: Convert to fraction form
    259,353/605,769 = 605,769/x
  3. Step 3: Cross multiply
    259,353x = 605,769 × 605,769
  4. Step 4: Simplify right side
    259,353x = 366,956,081,361
  5. Step 5: Solve for x
    x = 366,956,081,361/259,353
  6. Step 6: Final answer
    x = 1,414,890.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.