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Finding the Third Proportional to 366,399 and 582,849

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Solution

The third proportional to 366,399 and 582,849 is: 927,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,399 : 582,849 = 582,849 : x
  2. Step 2: Convert to fraction form
    366,399/582,849 = 582,849/x
  3. Step 3: Cross multiply
    366,399x = 582,849 × 582,849
  4. Step 4: Simplify right side
    366,399x = 339,712,956,801
  5. Step 5: Solve for x
    x = 339,712,956,801/366,399
  6. Step 6: Final answer
    x = 927,166.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.