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Finding the Third Proportional to 273,183.75 and 427,594.50

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Solution

The third proportional to 273,183.75 and 427,594.50 is: 669,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,183.75 : 427,594.50 = 427,594.50 : x
  2. Step 2: Convert to fraction form
    273,183.75/427,594.50 = 427,594.50/x
  3. Step 3: Cross multiply
    273,183.75x = 427,594.50 × 427,594.50
  4. Step 4: Simplify right side
    273,183.75x = 182,837,056,430.25
  5. Step 5: Solve for x
    x = 182,837,056,430.25/273,183.75
  6. Step 6: Final answer
    x = 669,282.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.