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Finding the Third Proportional to 227,715 and 498,978

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Solution

The third proportional to 227,715 and 498,978 is: 1,093,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,715 : 498,978 = 498,978 : x
  2. Step 2: Convert to fraction form
    227,715/498,978 = 498,978/x
  3. Step 3: Cross multiply
    227,715x = 498,978 × 498,978
  4. Step 4: Simplify right side
    227,715x = 248,979,044,484
  5. Step 5: Solve for x
    x = 248,979,044,484/227,715
  6. Step 6: Final answer
    x = 1,093,380.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.