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Finding the Third Proportional to 786.38 and 833.63

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Solution

The third proportional to 786.38 and 833.63 is: 883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 833.63 = 833.63 : x
  2. Step 2: Convert to fraction form
    786.38/833.63 = 833.63/x
  3. Step 3: Cross multiply
    786.38x = 833.63 × 833.63
  4. Step 4: Simplify right side
    786.38x = 694,930.64
  5. Step 5: Solve for x
    x = 694,930.64/786.38
  6. Step 6: Final answer
    x = 883.71

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.