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Finding the Third Proportional to 228,978 and 498,682

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Solution

The third proportional to 228,978 and 498,682 is: 1,086,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,978 : 498,682 = 498,682 : x
  2. Step 2: Convert to fraction form
    228,978/498,682 = 498,682/x
  3. Step 3: Cross multiply
    228,978x = 498,682 × 498,682
  4. Step 4: Simplify right side
    228,978x = 248,683,737,124
  5. Step 5: Solve for x
    x = 248,683,737,124/228,978
  6. Step 6: Final answer
    x = 1,086,059.52

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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.