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Finding the Third Proportional to 500,319.75 and 1,100,274.75

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Solution

The third proportional to 500,319.75 and 1,100,274.75 is: 2,419,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,319.75 : 1,100,274.75 = 1,100,274.75 : x
  2. Step 2: Convert to fraction form
    500,319.75/1,100,274.75 = 1,100,274.75/x
  3. Step 3: Cross multiply
    500,319.75x = 1,100,274.75 × 1,100,274.75
  4. Step 4: Simplify right side
    500,319.75x = 1,210,604,525,487.56
  5. Step 5: Solve for x
    x = 1,210,604,525,487.56/500,319.75
  6. Step 6: Final answer
    x = 2,419,661.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.