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Finding the Third Proportional to 436,165 and 589,149

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Solution

The third proportional to 436,165 and 589,149 is: 795,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,165 : 589,149 = 589,149 : x
  2. Step 2: Convert to fraction form
    436,165/589,149 = 589,149/x
  3. Step 3: Cross multiply
    436,165x = 589,149 × 589,149
  4. Step 4: Simplify right side
    436,165x = 347,096,544,201
  5. Step 5: Solve for x
    x = 347,096,544,201/436,165
  6. Step 6: Final answer
    x = 795,791.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.