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Finding the Third Proportional to 833.81 and 1,213.69

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Solution

The third proportional to 833.81 and 1,213.69 is: 1,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.81 : 1,213.69 = 1,213.69 : x
  2. Step 2: Convert to fraction form
    833.81/1,213.69 = 1,213.69/x
  3. Step 3: Cross multiply
    833.81x = 1,213.69 × 1,213.69
  4. Step 4: Simplify right side
    833.81x = 1,473,037.35
  5. Step 5: Solve for x
    x = 1,473,037.35/833.81
  6. Step 6: Final answer
    x = 1,766.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.