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Finding the Third Proportional to 543,190.50 and 826,449.75

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Solution

The third proportional to 543,190.50 and 826,449.75 is: 1,257,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,190.50 : 826,449.75 = 826,449.75 : x
  2. Step 2: Convert to fraction form
    543,190.50/826,449.75 = 826,449.75/x
  3. Step 3: Cross multiply
    543,190.50x = 826,449.75 × 826,449.75
  4. Step 4: Simplify right side
    543,190.50x = 683,019,189,275.06
  5. Step 5: Solve for x
    x = 683,019,189,275.06/543,190.50
  6. Step 6: Final answer
    x = 1,257,421.09

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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.