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Finding the Third Proportional to 374,066 and 796,994

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Solution

The third proportional to 374,066 and 796,994 is: 1,698,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,066 : 796,994 = 796,994 : x
  2. Step 2: Convert to fraction form
    374,066/796,994 = 796,994/x
  3. Step 3: Cross multiply
    374,066x = 796,994 × 796,994
  4. Step 4: Simplify right side
    374,066x = 635,199,436,036
  5. Step 5: Solve for x
    x = 635,199,436,036/374,066
  6. Step 6: Final answer
    x = 1,698,094.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.