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Finding the Third Proportional to 414,978 and 658,755

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Solution

The third proportional to 414,978 and 658,755 is: 1,045,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,978 : 658,755 = 658,755 : x
  2. Step 2: Convert to fraction form
    414,978/658,755 = 658,755/x
  3. Step 3: Cross multiply
    414,978x = 658,755 × 658,755
  4. Step 4: Simplify right side
    414,978x = 433,958,150,025
  5. Step 5: Solve for x
    x = 433,958,150,025/414,978
  6. Step 6: Final answer
    x = 1,045,737.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.