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Finding the Third Proportional to 441.07 and 947.32

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Solution

The third proportional to 441.07 and 947.32 is: 2,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.07 : 947.32 = 947.32 : x
  2. Step 2: Convert to fraction form
    441.07/947.32 = 947.32/x
  3. Step 3: Cross multiply
    441.07x = 947.32 × 947.32
  4. Step 4: Simplify right side
    441.07x = 897,415.77
  5. Step 5: Solve for x
    x = 897,415.77/441.07
  6. Step 6: Final answer
    x = 2,034.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.