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Finding the Third Proportional to 376,753 and 565,975

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Solution

The third proportional to 376,753 and 565,975 is: 850,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,753 : 565,975 = 565,975 : x
  2. Step 2: Convert to fraction form
    376,753/565,975 = 565,975/x
  3. Step 3: Cross multiply
    376,753x = 565,975 × 565,975
  4. Step 4: Simplify right side
    376,753x = 320,327,700,625
  5. Step 5: Solve for x
    x = 320,327,700,625/376,753
  6. Step 6: Final answer
    x = 850,232.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.