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Finding the Third Proportional to 365,365.69 and 796,956.47

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Solution

The third proportional to 365,365.69 and 796,956.47 is: 1,738,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,365.69 : 796,956.47 = 796,956.47 : x
  2. Step 2: Convert to fraction form
    365,365.69/796,956.47 = 796,956.47/x
  3. Step 3: Cross multiply
    365,365.69x = 796,956.47 × 796,956.47
  4. Step 4: Simplify right side
    365,365.69x = 635,139,613,082.47
  5. Step 5: Solve for x
    x = 635,139,613,082.47/365,365.69
  6. Step 6: Final answer
    x = 1,738,366.89

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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.