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Finding the Third Proportional to 259,837 and 586,885

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Solution

The third proportional to 259,837 and 586,885 is: 1,325,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,837 : 586,885 = 586,885 : x
  2. Step 2: Convert to fraction form
    259,837/586,885 = 586,885/x
  3. Step 3: Cross multiply
    259,837x = 586,885 × 586,885
  4. Step 4: Simplify right side
    259,837x = 344,434,003,225
  5. Step 5: Solve for x
    x = 344,434,003,225/259,837
  6. Step 6: Final answer
    x = 1,325,577.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.