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Finding the Third Proportional to 950.44 and 1,392.94

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Solution

The third proportional to 950.44 and 1,392.94 is: 2,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.44 : 1,392.94 = 1,392.94 : x
  2. Step 2: Convert to fraction form
    950.44/1,392.94 = 1,392.94/x
  3. Step 3: Cross multiply
    950.44x = 1,392.94 × 1,392.94
  4. Step 4: Simplify right side
    950.44x = 1,940,274.88
  5. Step 5: Solve for x
    x = 1,940,274.88/950.44
  6. Step 6: Final answer
    x = 2,041.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.