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Finding the Third Proportional to 395,286 and 591,849

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Solution

The third proportional to 395,286 and 591,849 is: 886,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,286 : 591,849 = 591,849 : x
  2. Step 2: Convert to fraction form
    395,286/591,849 = 591,849/x
  3. Step 3: Cross multiply
    395,286x = 591,849 × 591,849
  4. Step 4: Simplify right side
    395,286x = 350,285,238,801
  5. Step 5: Solve for x
    x = 350,285,238,801/395,286
  6. Step 6: Final answer
    x = 886,156.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.