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Finding the Third Proportional to 440.75 and 963.63

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Solution

The third proportional to 440.75 and 963.63 is: 2,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.75 : 963.63 = 963.63 : x
  2. Step 2: Convert to fraction form
    440.75/963.63 = 963.63/x
  3. Step 3: Cross multiply
    440.75x = 963.63 × 963.63
  4. Step 4: Simplify right side
    440.75x = 928,573.14
  5. Step 5: Solve for x
    x = 928,573.14/440.75
  6. Step 6: Final answer
    x = 2,106.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.