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Finding the Third Proportional to 833.91 and 1,185.47

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Solution

The third proportional to 833.91 and 1,185.47 is: 1,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,185.47 = 1,185.47 : x
  2. Step 2: Convert to fraction form
    833.91/1,185.47 = 1,185.47/x
  3. Step 3: Cross multiply
    833.91x = 1,185.47 × 1,185.47
  4. Step 4: Simplify right side
    833.91x = 1,405,336.16
  5. Step 5: Solve for x
    x = 1,405,336.16/833.91
  6. Step 6: Final answer
    x = 1,685.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.