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Finding the Third Proportional to 674.63 and 1,446.75

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Solution

The third proportional to 674.63 and 1,446.75 is: 3,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 1,446.75 = 1,446.75 : x
  2. Step 2: Convert to fraction form
    674.63/1,446.75 = 1,446.75/x
  3. Step 3: Cross multiply
    674.63x = 1,446.75 × 1,446.75
  4. Step 4: Simplify right side
    674.63x = 2,093,085.56
  5. Step 5: Solve for x
    x = 2,093,085.56/674.63
  6. Step 6: Final answer
    x = 3,102.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.