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Finding the Third Proportional to 263,089.69 and 566,745.19

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Solution

The third proportional to 263,089.69 and 566,745.19 is: 1,220,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,089.69 : 566,745.19 = 566,745.19 : x
  2. Step 2: Convert to fraction form
    263,089.69/566,745.19 = 566,745.19/x
  3. Step 3: Cross multiply
    263,089.69x = 566,745.19 × 566,745.19
  4. Step 4: Simplify right side
    263,089.69x = 321,200,107,554.41
  5. Step 5: Solve for x
    x = 321,200,107,554.41/263,089.69
  6. Step 6: Final answer
    x = 1,220,876.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.