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Finding the Third Proportional to 488,022,879.75 and 743,469,322.50

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Solution

The third proportional to 488,022,879.75 and 743,469,322.50 is: 1,132,624,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,022,879.75 : 743,469,322.50 = 743,469,322.50 : x
  2. Step 2: Convert to fraction form
    488,022,879.75/743,469,322.50 = 743,469,322.50/x
  3. Step 3: Cross multiply
    488,022,879.75x = 743,469,322.50 × 743,469,322.50
  4. Step 4: Simplify right side
    488,022,879.75x = 552,746,633,498,609,024
  5. Step 5: Solve for x
    x = 552,746,633,498,609,024/488,022,879.75
  6. Step 6: Final answer
    x = 1,132,624,424.87

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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.