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Finding the Third Proportional to 352,018.50 and 757,086.75

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Solution

The third proportional to 352,018.50 and 757,086.75 is: 1,628,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,018.50 : 757,086.75 = 757,086.75 : x
  2. Step 2: Convert to fraction form
    352,018.50/757,086.75 = 757,086.75/x
  3. Step 3: Cross multiply
    352,018.50x = 757,086.75 × 757,086.75
  4. Step 4: Simplify right side
    352,018.50x = 573,180,347,025.56
  5. Step 5: Solve for x
    x = 573,180,347,025.56/352,018.50
  6. Step 6: Final answer
    x = 1,628,267.68

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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.