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Finding the Third Proportional to 350.63 and 519.09

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Solution

The third proportional to 350.63 and 519.09 is: 768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.63 : 519.09 = 519.09 : x
  2. Step 2: Convert to fraction form
    350.63/519.09 = 519.09/x
  3. Step 3: Cross multiply
    350.63x = 519.09 × 519.09
  4. Step 4: Simplify right side
    350.63x = 269,458.32
  5. Step 5: Solve for x
    x = 269,458.32/350.63
  6. Step 6: Final answer
    x = 768.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.