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Finding the Third Proportional to 378,300.75 and 562,091.75

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Solution

The third proportional to 378,300.75 and 562,091.75 is: 835,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,300.75 : 562,091.75 = 562,091.75 : x
  2. Step 2: Convert to fraction form
    378,300.75/562,091.75 = 562,091.75/x
  3. Step 3: Cross multiply
    378,300.75x = 562,091.75 × 562,091.75
  4. Step 4: Simplify right side
    378,300.75x = 315,947,135,418.06
  5. Step 5: Solve for x
    x = 315,947,135,418.06/378,300.75
  6. Step 6: Final answer
    x = 835,174.49

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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.