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Finding the Third Proportional to 376,758 and 565,980

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Solution

The third proportional to 376,758 and 565,980 is: 850,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,758 : 565,980 = 565,980 : x
  2. Step 2: Convert to fraction form
    376,758/565,980 = 565,980/x
  3. Step 3: Cross multiply
    376,758x = 565,980 × 565,980
  4. Step 4: Simplify right side
    376,758x = 320,333,360,400
  5. Step 5: Solve for x
    x = 320,333,360,400/376,758
  6. Step 6: Final answer
    x = 850,236.39

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