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Finding the Third Proportional to 371,978 and 810,387

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Solution

The third proportional to 371,978 and 810,387 is: 1,765,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,978 : 810,387 = 810,387 : x
  2. Step 2: Convert to fraction form
    371,978/810,387 = 810,387/x
  3. Step 3: Cross multiply
    371,978x = 810,387 × 810,387
  4. Step 4: Simplify right side
    371,978x = 656,727,089,769
  5. Step 5: Solve for x
    x = 656,727,089,769/371,978
  6. Step 6: Final answer
    x = 1,765,499.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.