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Finding the Third Proportional to 353,949.75 and 530,961.75

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Solution

The third proportional to 353,949.75 and 530,961.75 is: 796,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,949.75 : 530,961.75 = 530,961.75 : x
  2. Step 2: Convert to fraction form
    353,949.75/530,961.75 = 530,961.75/x
  3. Step 3: Cross multiply
    353,949.75x = 530,961.75 × 530,961.75
  4. Step 4: Simplify right side
    353,949.75x = 281,920,379,963.06
  5. Step 5: Solve for x
    x = 281,920,379,963.06/353,949.75
  6. Step 6: Final answer
    x = 796,498.32

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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.