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Finding the Third Proportional to 493,896 and 751,500

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Solution

The third proportional to 493,896 and 751,500 is: 1,143,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,896 : 751,500 = 751,500 : x
  2. Step 2: Convert to fraction form
    493,896/751,500 = 751,500/x
  3. Step 3: Cross multiply
    493,896x = 751,500 × 751,500
  4. Step 4: Simplify right side
    493,896x = 564,752,250,000
  5. Step 5: Solve for x
    x = 564,752,250,000/493,896
  6. Step 6: Final answer
    x = 1,143,463.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.