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Finding the Third Proportional to 351,737.44 and 757,729.69

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Solution

The third proportional to 351,737.44 and 757,729.69 is: 1,632,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,737.44 : 757,729.69 = 757,729.69 : x
  2. Step 2: Convert to fraction form
    351,737.44/757,729.69 = 757,729.69/x
  3. Step 3: Cross multiply
    351,737.44x = 757,729.69 × 757,729.69
  4. Step 4: Simplify right side
    351,737.44x = 574,154,279,318.85
  5. Step 5: Solve for x
    x = 574,154,279,318.85/351,737.44
  6. Step 6: Final answer
    x = 1,632,337.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.