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Finding the Third Proportional to 365,370.75 and 796,965.75

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Solution

The third proportional to 365,370.75 and 796,965.75 is: 1,738,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,370.75 : 796,965.75 = 796,965.75 : x
  2. Step 2: Convert to fraction form
    365,370.75/796,965.75 = 796,965.75/x
  3. Step 3: Cross multiply
    365,370.75x = 796,965.75 × 796,965.75
  4. Step 4: Simplify right side
    365,370.75x = 635,154,406,673.06
  5. Step 5: Solve for x
    x = 635,154,406,673.06/365,370.75
  6. Step 6: Final answer
    x = 1,738,383.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.