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Finding the Third Proportional to 352,437.75 and 768,399.75

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Solution

The third proportional to 352,437.75 and 768,399.75 is: 1,675,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,437.75 : 768,399.75 = 768,399.75 : x
  2. Step 2: Convert to fraction form
    352,437.75/768,399.75 = 768,399.75/x
  3. Step 3: Cross multiply
    352,437.75x = 768,399.75 × 768,399.75
  4. Step 4: Simplify right side
    352,437.75x = 590,438,175,800.06
  5. Step 5: Solve for x
    x = 590,438,175,800.06/352,437.75
  6. Step 6: Final answer
    x = 1,675,297.77

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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.