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Finding the Third Proportional to 376,005.38 and 782,993.25

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Solution

The third proportional to 376,005.38 and 782,993.25 is: 1,630,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,005.38 : 782,993.25 = 782,993.25 : x
  2. Step 2: Convert to fraction form
    376,005.38/782,993.25 = 782,993.25/x
  3. Step 3: Cross multiply
    376,005.38x = 782,993.25 × 782,993.25
  4. Step 4: Simplify right side
    376,005.38x = 613,078,429,545.56
  5. Step 5: Solve for x
    x = 613,078,429,545.56/376,005.38
  6. Step 6: Final answer
    x = 1,630,504.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.