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Finding the Third Proportional to 579,942.75 and 1,274,307

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Solution

The third proportional to 579,942.75 and 1,274,307 is: 2,800,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,942.75 : 1,274,307 = 1,274,307 : x
  2. Step 2: Convert to fraction form
    579,942.75/1,274,307 = 1,274,307/x
  3. Step 3: Cross multiply
    579,942.75x = 1,274,307 × 1,274,307
  4. Step 4: Simplify right side
    579,942.75x = 1,623,858,330,249
  5. Step 5: Solve for x
    x = 1,623,858,330,249/579,942.75
  6. Step 6: Final answer
    x = 2,800,032.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.