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Finding the Third Proportional to 244,567.69 and 321,605.44

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Solution

The third proportional to 244,567.69 and 321,605.44 is: 422,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,567.69 : 321,605.44 = 321,605.44 : x
  2. Step 2: Convert to fraction form
    244,567.69/321,605.44 = 321,605.44/x
  3. Step 3: Cross multiply
    244,567.69x = 321,605.44 × 321,605.44
  4. Step 4: Simplify right side
    244,567.69x = 103,430,057,429.57
  5. Step 5: Solve for x
    x = 103,430,057,429.57/244,567.69
  6. Step 6: Final answer
    x = 422,909.74

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.