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Finding the Third Proportional to 259,864 and 586,936

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Solution

The third proportional to 259,864 and 586,936 is: 1,325,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,864 : 586,936 = 586,936 : x
  2. Step 2: Convert to fraction form
    259,864/586,936 = 586,936/x
  3. Step 3: Cross multiply
    259,864x = 586,936 × 586,936
  4. Step 4: Simplify right side
    259,864x = 344,493,868,096
  5. Step 5: Solve for x
    x = 344,493,868,096/259,864
  6. Step 6: Final answer
    x = 1,325,669.84

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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.