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Finding the Third Proportional to 568,743.75 and 1,207,623.38

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Solution

The third proportional to 568,743.75 and 1,207,623.38 is: 2,564,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,743.75 : 1,207,623.38 = 1,207,623.38 : x
  2. Step 2: Convert to fraction form
    568,743.75/1,207,623.38 = 1,207,623.38/x
  3. Step 3: Cross multiply
    568,743.75x = 1,207,623.38 × 1,207,623.38
  4. Step 4: Simplify right side
    568,743.75x = 1,458,354,215,846.39
  5. Step 5: Solve for x
    x = 1,458,354,215,846.39/568,743.75
  6. Step 6: Final answer
    x = 2,564,167.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.