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Finding the Third Proportional to 378,302 and 562,093

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Solution

The third proportional to 378,302 and 562,093 is: 835,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,302 : 562,093 = 562,093 : x
  2. Step 2: Convert to fraction form
    378,302/562,093 = 562,093/x
  3. Step 3: Cross multiply
    378,302x = 562,093 × 562,093
  4. Step 4: Simplify right side
    378,302x = 315,948,540,649
  5. Step 5: Solve for x
    x = 315,948,540,649/378,302
  6. Step 6: Final answer
    x = 835,175.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.