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Finding the Third Proportional to 498,183.75 and 793,091.25

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Solution

The third proportional to 498,183.75 and 793,091.25 is: 1,262,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,183.75 : 793,091.25 = 793,091.25 : x
  2. Step 2: Convert to fraction form
    498,183.75/793,091.25 = 793,091.25/x
  3. Step 3: Cross multiply
    498,183.75x = 793,091.25 × 793,091.25
  4. Step 4: Simplify right side
    498,183.75x = 628,993,730,826.56
  5. Step 5: Solve for x
    x = 628,993,730,826.56/498,183.75
  6. Step 6: Final answer
    x = 1,262,573.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.