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Finding the Third Proportional to 493,317 and 737,997.75

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Solution

The third proportional to 493,317 and 737,997.75 is: 1,104,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,317 : 737,997.75 = 737,997.75 : x
  2. Step 2: Convert to fraction form
    493,317/737,997.75 = 737,997.75/x
  3. Step 3: Cross multiply
    493,317x = 737,997.75 × 737,997.75
  4. Step 4: Simplify right side
    493,317x = 544,640,679,005.06
  5. Step 5: Solve for x
    x = 544,640,679,005.06/493,317
  6. Step 6: Final answer
    x = 1,104,037.93

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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.