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Finding the Third Proportional to 284,091 and 611,193

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Solution

The third proportional to 284,091 and 611,193 is: 1,314,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,091 : 611,193 = 611,193 : x
  2. Step 2: Convert to fraction form
    284,091/611,193 = 611,193/x
  3. Step 3: Cross multiply
    284,091x = 611,193 × 611,193
  4. Step 4: Simplify right side
    284,091x = 373,556,883,249
  5. Step 5: Solve for x
    x = 373,556,883,249/284,091
  6. Step 6: Final answer
    x = 1,314,919.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.