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Finding the Third Proportional to 331,682 and 498,494

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Solution

The third proportional to 331,682 and 498,494 is: 749,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,682 : 498,494 = 498,494 : x
  2. Step 2: Convert to fraction form
    331,682/498,494 = 498,494/x
  3. Step 3: Cross multiply
    331,682x = 498,494 × 498,494
  4. Step 4: Simplify right side
    331,682x = 248,496,268,036
  5. Step 5: Solve for x
    x = 248,496,268,036/331,682
  6. Step 6: Final answer
    x = 749,200.34

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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.