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Finding the Third Proportional to 818.44 and 1,790.44

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Solution

The third proportional to 818.44 and 1,790.44 is: 3,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.44 : 1,790.44 = 1,790.44 : x
  2. Step 2: Convert to fraction form
    818.44/1,790.44 = 1,790.44/x
  3. Step 3: Cross multiply
    818.44x = 1,790.44 × 1,790.44
  4. Step 4: Simplify right side
    818.44x = 3,205,666.44
  5. Step 5: Solve for x
    x = 3,205,666.44/818.44
  6. Step 6: Final answer
    x = 3,916.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.