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Finding the Third Proportional to 713.60 and 1,446.82

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Solution

The third proportional to 713.60 and 1,446.82 is: 2,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 1,446.82 = 1,446.82 : x
  2. Step 2: Convert to fraction form
    713.60/1,446.82 = 1,446.82/x
  3. Step 3: Cross multiply
    713.60x = 1,446.82 × 1,446.82
  4. Step 4: Simplify right side
    713.60x = 2,093,289.02
  5. Step 5: Solve for x
    x = 2,093,289.02/713.60
  6. Step 6: Final answer
    x = 2,933.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.