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Finding the Third Proportional to 365,208.75 and 796,847.63

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Solution

The third proportional to 365,208.75 and 796,847.63 is: 1,738,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,208.75 : 796,847.63 = 796,847.63 : x
  2. Step 2: Convert to fraction form
    365,208.75/796,847.63 = 796,847.63/x
  3. Step 3: Cross multiply
    365,208.75x = 796,847.63 × 796,847.63
  4. Step 4: Simplify right side
    365,208.75x = 634,966,137,468.14
  5. Step 5: Solve for x
    x = 634,966,137,468.14/365,208.75
  6. Step 6: Final answer
    x = 1,738,638.89

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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.