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Finding the Third Proportional to 905.06 and 1,162.69

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Solution

The third proportional to 905.06 and 1,162.69 is: 1,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.06 : 1,162.69 = 1,162.69 : x
  2. Step 2: Convert to fraction form
    905.06/1,162.69 = 1,162.69/x
  3. Step 3: Cross multiply
    905.06x = 1,162.69 × 1,162.69
  4. Step 4: Simplify right side
    905.06x = 1,351,842.22
  5. Step 5: Solve for x
    x = 1,351,842.22/905.06
  6. Step 6: Final answer
    x = 1,493.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.