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Finding the Third Proportional to 300.74 and 460.92

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Solution

The third proportional to 300.74 and 460.92 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 460.92 = 460.92 : x
  2. Step 2: Convert to fraction form
    300.74/460.92 = 460.92/x
  3. Step 3: Cross multiply
    300.74x = 460.92 × 460.92
  4. Step 4: Simplify right side
    300.74x = 212,451.68
  5. Step 5: Solve for x
    x = 212,451.68/300.74
  6. Step 6: Final answer
    x = 706.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.