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Finding the Third Proportional to 916.41 and 1,786.97

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Solution

The third proportional to 916.41 and 1,786.97 is: 3,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.41 : 1,786.97 = 1,786.97 : x
  2. Step 2: Convert to fraction form
    916.41/1,786.97 = 1,786.97/x
  3. Step 3: Cross multiply
    916.41x = 1,786.97 × 1,786.97
  4. Step 4: Simplify right side
    916.41x = 3,193,257.31
  5. Step 5: Solve for x
    x = 3,193,257.31/916.41
  6. Step 6: Final answer
    x = 3,484.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.