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Finding the Third Proportional to 301,262,183.44 and 465,324,276.94

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Solution

The third proportional to 301,262,183.44 and 465,324,276.94 is: 718,731,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262,183.44 : 465,324,276.94 = 465,324,276.94 : x
  2. Step 2: Convert to fraction form
    301,262,183.44/465,324,276.94 = 465,324,276.94/x
  3. Step 3: Cross multiply
    301,262,183.44x = 465,324,276.94 × 465,324,276.94
  4. Step 4: Simplify right side
    301,262,183.44x = 216,526,682,707,407,200
  5. Step 5: Solve for x
    x = 216,526,682,707,407,200/301,262,183.44
  6. Step 6: Final answer
    x = 718,731,704.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.