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Finding the Third Proportional to 362,286 and 796,279.50

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Solution

The third proportional to 362,286 and 796,279.50 is: 1,750,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,286 : 796,279.50 = 796,279.50 : x
  2. Step 2: Convert to fraction form
    362,286/796,279.50 = 796,279.50/x
  3. Step 3: Cross multiply
    362,286x = 796,279.50 × 796,279.50
  4. Step 4: Simplify right side
    362,286x = 634,061,042,120.25
  5. Step 5: Solve for x
    x = 634,061,042,120.25/362,286
  6. Step 6: Final answer
    x = 1,750,167.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.