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Finding the Third Proportional to 352,039.50 and 757,147.50

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Solution

The third proportional to 352,039.50 and 757,147.50 is: 1,628,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,039.50 : 757,147.50 = 757,147.50 : x
  2. Step 2: Convert to fraction form
    352,039.50/757,147.50 = 757,147.50/x
  3. Step 3: Cross multiply
    352,039.50x = 757,147.50 × 757,147.50
  4. Step 4: Simplify right side
    352,039.50x = 573,272,336,756.25
  5. Step 5: Solve for x
    x = 573,272,336,756.25/352,039.50
  6. Step 6: Final answer
    x = 1,628,431.86

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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.