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Finding the Third Proportional to 443.94 and 661.31

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Solution

The third proportional to 443.94 and 661.31 is: 985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.94 : 661.31 = 661.31 : x
  2. Step 2: Convert to fraction form
    443.94/661.31 = 661.31/x
  3. Step 3: Cross multiply
    443.94x = 661.31 × 661.31
  4. Step 4: Simplify right side
    443.94x = 437,334.22
  5. Step 5: Solve for x
    x = 437,334.22/443.94
  6. Step 6: Final answer
    x = 985.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.