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Finding the Third Proportional to 408.94 and 701.72

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Solution

The third proportional to 408.94 and 701.72 is: 1,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 701.72 = 701.72 : x
  2. Step 2: Convert to fraction form
    408.94/701.72 = 701.72/x
  3. Step 3: Cross multiply
    408.94x = 701.72 × 701.72
  4. Step 4: Simplify right side
    408.94x = 492,409.20
  5. Step 5: Solve for x
    x = 492,409.20/408.94
  6. Step 6: Final answer
    x = 1,204.12

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.