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Finding the Third Proportional to 280,589.63 and 613,667.25

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Solution

The third proportional to 280,589.63 and 613,667.25 is: 1,342,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,589.63 : 613,667.25 = 613,667.25 : x
  2. Step 2: Convert to fraction form
    280,589.63/613,667.25 = 613,667.25/x
  3. Step 3: Cross multiply
    280,589.63x = 613,667.25 × 613,667.25
  4. Step 4: Simplify right side
    280,589.63x = 376,587,493,722.56
  5. Step 5: Solve for x
    x = 376,587,493,722.56/280,589.63
  6. Step 6: Final answer
    x = 1,342,129.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.