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Finding the Third Proportional to 263,163.94 and 553,824.84

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Solution

The third proportional to 263,163.94 and 553,824.84 is: 1,165,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,163.94 : 553,824.84 = 553,824.84 : x
  2. Step 2: Convert to fraction form
    263,163.94/553,824.84 = 553,824.84/x
  3. Step 3: Cross multiply
    263,163.94x = 553,824.84 × 553,824.84
  4. Step 4: Simplify right side
    263,163.94x = 306,721,957,554.71
  5. Step 5: Solve for x
    x = 306,721,957,554.71/263,163.94
  6. Step 6: Final answer
    x = 1,165,516.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.