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Finding the Third Proportional to 376,182 and 582,741

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Solution

The third proportional to 376,182 and 582,741 is: 902,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,182 : 582,741 = 582,741 : x
  2. Step 2: Convert to fraction form
    376,182/582,741 = 582,741/x
  3. Step 3: Cross multiply
    376,182x = 582,741 × 582,741
  4. Step 4: Simplify right side
    376,182x = 339,587,073,081
  5. Step 5: Solve for x
    x = 339,587,073,081/376,182
  6. Step 6: Final answer
    x = 902,720.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.