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Finding the Third Proportional to 344,163.09 and 738,147.94

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Solution

The third proportional to 344,163.09 and 738,147.94 is: 1,583,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,163.09 : 738,147.94 = 738,147.94 : x
  2. Step 2: Convert to fraction form
    344,163.09/738,147.94 = 738,147.94/x
  3. Step 3: Cross multiply
    344,163.09x = 738,147.94 × 738,147.94
  4. Step 4: Simplify right side
    344,163.09x = 544,862,377,635.50
  5. Step 5: Solve for x
    x = 544,862,377,635.50/344,163.09
  6. Step 6: Final answer
    x = 1,583,151.67

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Why These Related Problems?

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