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Finding the Third Proportional to 674.34 and 896.34

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Solution

The third proportional to 674.34 and 896.34 is: 1,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 896.34 = 896.34 : x
  2. Step 2: Convert to fraction form
    674.34/896.34 = 896.34/x
  3. Step 3: Cross multiply
    674.34x = 896.34 × 896.34
  4. Step 4: Simplify right side
    674.34x = 803,432.12
  5. Step 5: Solve for x
    x = 803,432.12/674.34
  6. Step 6: Final answer
    x = 1,191.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.