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Finding the Third Proportional to 568,251 and 862,744.50

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Solution

The third proportional to 568,251 and 862,744.50 is: 1,309,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,251 : 862,744.50 = 862,744.50 : x
  2. Step 2: Convert to fraction form
    568,251/862,744.50 = 862,744.50/x
  3. Step 3: Cross multiply
    568,251x = 862,744.50 × 862,744.50
  4. Step 4: Simplify right side
    568,251x = 744,328,072,280.25
  5. Step 5: Solve for x
    x = 744,328,072,280.25/568,251
  6. Step 6: Final answer
    x = 1,309,857.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.