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Finding the Third Proportional to 365,148 and 796,724

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Solution

The third proportional to 365,148 and 796,724 is: 1,738,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,148 : 796,724 = 796,724 : x
  2. Step 2: Convert to fraction form
    365,148/796,724 = 796,724/x
  3. Step 3: Cross multiply
    365,148x = 796,724 × 796,724
  4. Step 4: Simplify right side
    365,148x = 634,769,132,176
  5. Step 5: Solve for x
    x = 634,769,132,176/365,148
  6. Step 6: Final answer
    x = 1,738,388.63

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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.