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Finding the Third Proportional to 270,584.30 and 587,277.84

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Solution

The third proportional to 270,584.30 and 587,277.84 is: 1,274,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.30 : 587,277.84 = 587,277.84 : x
  2. Step 2: Convert to fraction form
    270,584.30/587,277.84 = 587,277.84/x
  3. Step 3: Cross multiply
    270,584.30x = 587,277.84 × 587,277.84
  4. Step 4: Simplify right side
    270,584.30x = 344,895,265,759.65
  5. Step 5: Solve for x
    x = 344,895,265,759.65/270,584.30
  6. Step 6: Final answer
    x = 1,274,631.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.