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Finding the Third Proportional to 348.89 and 711.07

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Solution

The third proportional to 348.89 and 711.07 is: 1,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.89 : 711.07 = 711.07 : x
  2. Step 2: Convert to fraction form
    348.89/711.07 = 711.07/x
  3. Step 3: Cross multiply
    348.89x = 711.07 × 711.07
  4. Step 4: Simplify right side
    348.89x = 505,620.99
  5. Step 5: Solve for x
    x = 505,620.99/348.89
  6. Step 6: Final answer
    x = 1,449.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.