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Finding the Third Proportional to 260,605.69 and 571,033.13

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Solution

The third proportional to 260,605.69 and 571,033.13 is: 1,251,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,605.69 : 571,033.13 = 571,033.13 : x
  2. Step 2: Convert to fraction form
    260,605.69/571,033.13 = 571,033.13/x
  3. Step 3: Cross multiply
    260,605.69x = 571,033.13 × 571,033.13
  4. Step 4: Simplify right side
    260,605.69x = 326,078,829,847.27
  5. Step 5: Solve for x
    x = 326,078,829,847.27/260,605.69
  6. Step 6: Final answer
    x = 1,251,234.51

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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.