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Finding the Third Proportional to 376,920 and 582,878

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Solution

The third proportional to 376,920 and 582,878 is: 901,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,920 : 582,878 = 582,878 : x
  2. Step 2: Convert to fraction form
    376,920/582,878 = 582,878/x
  3. Step 3: Cross multiply
    376,920x = 582,878 × 582,878
  4. Step 4: Simplify right side
    376,920x = 339,746,762,884
  5. Step 5: Solve for x
    x = 339,746,762,884/376,920
  6. Step 6: Final answer
    x = 901,376.32

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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.