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Finding the Third Proportional to 411,751.50 and 892,233

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Solution

The third proportional to 411,751.50 and 892,233 is: 1,933,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,751.50 : 892,233 = 892,233 : x
  2. Step 2: Convert to fraction form
    411,751.50/892,233 = 892,233/x
  3. Step 3: Cross multiply
    411,751.50x = 892,233 × 892,233
  4. Step 4: Simplify right side
    411,751.50x = 796,079,726,289
  5. Step 5: Solve for x
    x = 796,079,726,289/411,751.50
  6. Step 6: Final answer
    x = 1,933,398.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.