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Finding the Third Proportional to 374,056 and 796,974

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Solution

The third proportional to 374,056 and 796,974 is: 1,698,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,056 : 796,974 = 796,974 : x
  2. Step 2: Convert to fraction form
    374,056/796,974 = 796,974/x
  3. Step 3: Cross multiply
    374,056x = 796,974 × 796,974
  4. Step 4: Simplify right side
    374,056x = 635,167,556,676
  5. Step 5: Solve for x
    x = 635,167,556,676/374,056
  6. Step 6: Final answer
    x = 1,698,054.72

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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.