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Finding the Third Proportional to 352,433.25 and 529,431.75

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Solution

The third proportional to 352,433.25 and 529,431.75 is: 795,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,433.25 : 529,431.75 = 529,431.75 : x
  2. Step 2: Convert to fraction form
    352,433.25/529,431.75 = 529,431.75/x
  3. Step 3: Cross multiply
    352,433.25x = 529,431.75 × 529,431.75
  4. Step 4: Simplify right side
    352,433.25x = 280,297,977,908.06
  5. Step 5: Solve for x
    x = 280,297,977,908.06/352,433.25
  6. Step 6: Final answer
    x = 795,322.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.