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Finding the Third Proportional to 376,938 and 582,912

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Solution

The third proportional to 376,938 and 582,912 is: 901,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,938 : 582,912 = 582,912 : x
  2. Step 2: Convert to fraction form
    376,938/582,912 = 582,912/x
  3. Step 3: Cross multiply
    376,938x = 582,912 × 582,912
  4. Step 4: Simplify right side
    376,938x = 339,786,399,744
  5. Step 5: Solve for x
    x = 339,786,399,744/376,938
  6. Step 6: Final answer
    x = 901,438.43

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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.