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Finding the Third Proportional to 375.94 and 600.09

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Solution

The third proportional to 375.94 and 600.09 is: 957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 600.09 = 600.09 : x
  2. Step 2: Convert to fraction form
    375.94/600.09 = 600.09/x
  3. Step 3: Cross multiply
    375.94x = 600.09 × 600.09
  4. Step 4: Simplify right side
    375.94x = 360,112.51
  5. Step 5: Solve for x
    x = 360,112.51/375.94
  6. Step 6: Final answer
    x = 957.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.