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Finding the Third Proportional to 344,163.94 and 738,149.06

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Solution

The third proportional to 344,163.94 and 738,149.06 is: 1,583,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,163.94 : 738,149.06 = 738,149.06 : x
  2. Step 2: Convert to fraction form
    344,163.94/738,149.06 = 738,149.06/x
  3. Step 3: Cross multiply
    344,163.94x = 738,149.06 × 738,149.06
  4. Step 4: Simplify right side
    344,163.94x = 544,864,038,469.63
  5. Step 5: Solve for x
    x = 544,864,038,469.63/344,163.94
  6. Step 6: Final answer
    x = 1,583,152.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.