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Finding the Third Proportional to 376,755 and 565,978

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Solution

The third proportional to 376,755 and 565,978 is: 850,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,755 : 565,978 = 565,978 : x
  2. Step 2: Convert to fraction form
    376,755/565,978 = 565,978/x
  3. Step 3: Cross multiply
    376,755x = 565,978 × 565,978
  4. Step 4: Simplify right side
    376,755x = 320,331,096,484
  5. Step 5: Solve for x
    x = 320,331,096,484/376,755
  6. Step 6: Final answer
    x = 850,237.15

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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.