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Finding the Third Proportional to 360.94 and 670.62

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Solution

The third proportional to 360.94 and 670.62 is: 1,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 670.62 = 670.62 : x
  2. Step 2: Convert to fraction form
    360.94/670.62 = 670.62/x
  3. Step 3: Cross multiply
    360.94x = 670.62 × 670.62
  4. Step 4: Simplify right side
    360.94x = 449,735.27
  5. Step 5: Solve for x
    x = 449,735.27/360.94
  6. Step 6: Final answer
    x = 1,246.01

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.