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Finding the Third Proportional to 365,384 and 796,999

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Solution

The third proportional to 365,384 and 796,999 is: 1,738,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,384 : 796,999 = 796,999 : x
  2. Step 2: Convert to fraction form
    365,384/796,999 = 796,999/x
  3. Step 3: Cross multiply
    365,384x = 796,999 × 796,999
  4. Step 4: Simplify right side
    365,384x = 635,207,406,001
  5. Step 5: Solve for x
    x = 635,207,406,001/365,384
  6. Step 6: Final answer
    x = 1,738,465.30

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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.