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Finding the Third Proportional to 980.44 and 1,374.19

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Solution

The third proportional to 980.44 and 1,374.19 is: 1,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.44 : 1,374.19 = 1,374.19 : x
  2. Step 2: Convert to fraction form
    980.44/1,374.19 = 1,374.19/x
  3. Step 3: Cross multiply
    980.44x = 1,374.19 × 1,374.19
  4. Step 4: Simplify right side
    980.44x = 1,888,391.29
  5. Step 5: Solve for x
    x = 1,888,391.29/980.44
  6. Step 6: Final answer
    x = 1,926.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.