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Finding the Third Proportional to 331,461 and 496,644.75

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Solution

The third proportional to 331,461 and 496,644.75 is: 744,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,461 : 496,644.75 = 496,644.75 : x
  2. Step 2: Convert to fraction form
    331,461/496,644.75 = 496,644.75/x
  3. Step 3: Cross multiply
    331,461x = 496,644.75 × 496,644.75
  4. Step 4: Simplify right side
    331,461x = 246,656,007,702.56
  5. Step 5: Solve for x
    x = 246,656,007,702.56/331,461
  6. Step 6: Final answer
    x = 744,147.90

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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.