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Finding the Third Proportional to 352,428.75 and 768,381.75

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Solution

The third proportional to 352,428.75 and 768,381.75 is: 1,675,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,428.75 : 768,381.75 = 768,381.75 : x
  2. Step 2: Convert to fraction form
    352,428.75/768,381.75 = 768,381.75/x
  3. Step 3: Cross multiply
    352,428.75x = 768,381.75 × 768,381.75
  4. Step 4: Simplify right side
    352,428.75x = 590,410,513,733.06
  5. Step 5: Solve for x
    x = 590,410,513,733.06/352,428.75
  6. Step 6: Final answer
    x = 1,675,262.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.