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Finding the Third Proportional to 376,924 and 582,884

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Solution

The third proportional to 376,924 and 582,884 is: 901,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,924 : 582,884 = 582,884 : x
  2. Step 2: Convert to fraction form
    376,924/582,884 = 582,884/x
  3. Step 3: Cross multiply
    376,924x = 582,884 × 582,884
  4. Step 4: Simplify right side
    376,924x = 339,753,757,456
  5. Step 5: Solve for x
    x = 339,753,757,456/376,924
  6. Step 6: Final answer
    x = 901,385.31

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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.