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Finding the Third Proportional to 286,578 and 622,909.50

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Solution

The third proportional to 286,578 and 622,909.50 is: 1,353,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,578 : 622,909.50 = 622,909.50 : x
  2. Step 2: Convert to fraction form
    286,578/622,909.50 = 622,909.50/x
  3. Step 3: Cross multiply
    286,578x = 622,909.50 × 622,909.50
  4. Step 4: Simplify right side
    286,578x = 388,016,245,190.25
  5. Step 5: Solve for x
    x = 388,016,245,190.25/286,578
  6. Step 6: Final answer
    x = 1,353,963.83

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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.