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Finding the Third Proportional to 309.94 and 475.78

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Solution

The third proportional to 309.94 and 475.78 is: 730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 475.78 = 475.78 : x
  2. Step 2: Convert to fraction form
    309.94/475.78 = 475.78/x
  3. Step 3: Cross multiply
    309.94x = 475.78 × 475.78
  4. Step 4: Simplify right side
    309.94x = 226,367.80
  5. Step 5: Solve for x
    x = 226,367.80/309.94
  6. Step 6: Final answer
    x = 730.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.