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Finding the Third Proportional to 379,193 and 805,042

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Solution

The third proportional to 379,193 and 805,042 is: 1,709,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,193 : 805,042 = 805,042 : x
  2. Step 2: Convert to fraction form
    379,193/805,042 = 805,042/x
  3. Step 3: Cross multiply
    379,193x = 805,042 × 805,042
  4. Step 4: Simplify right side
    379,193x = 648,092,621,764
  5. Step 5: Solve for x
    x = 648,092,621,764/379,193
  6. Step 6: Final answer
    x = 1,709,136.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.