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Finding the Third Proportional to 376,137 and 582,660

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Solution

The third proportional to 376,137 and 582,660 is: 902,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,137 : 582,660 = 582,660 : x
  2. Step 2: Convert to fraction form
    376,137/582,660 = 582,660/x
  3. Step 3: Cross multiply
    376,137x = 582,660 × 582,660
  4. Step 4: Simplify right side
    376,137x = 339,492,675,600
  5. Step 5: Solve for x
    x = 339,492,675,600/376,137
  6. Step 6: Final answer
    x = 902,577.19

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