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Finding the Third Proportional to 365,215.50 and 796,860

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Solution

The third proportional to 365,215.50 and 796,860 is: 1,738,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,215.50 : 796,860 = 796,860 : x
  2. Step 2: Convert to fraction form
    365,215.50/796,860 = 796,860/x
  3. Step 3: Cross multiply
    365,215.50x = 796,860 × 796,860
  4. Step 4: Simplify right side
    365,215.50x = 634,985,859,600
  5. Step 5: Solve for x
    x = 634,985,859,600/365,215.50
  6. Step 6: Final answer
    x = 1,738,660.76

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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.