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Finding the Third Proportional to 365,242 and 796,918

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Solution

The third proportional to 365,242 and 796,918 is: 1,738,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,242 : 796,918 = 796,918 : x
  2. Step 2: Convert to fraction form
    365,242/796,918 = 796,918/x
  3. Step 3: Cross multiply
    365,242x = 796,918 × 796,918
  4. Step 4: Simplify right side
    365,242x = 635,078,298,724
  5. Step 5: Solve for x
    x = 635,078,298,724/365,242
  6. Step 6: Final answer
    x = 1,738,787.70

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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.