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Finding the Third Proportional to 693.73 and 1,486.19

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Solution

The third proportional to 693.73 and 1,486.19 is: 3,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.73 : 1,486.19 = 1,486.19 : x
  2. Step 2: Convert to fraction form
    693.73/1,486.19 = 1,486.19/x
  3. Step 3: Cross multiply
    693.73x = 1,486.19 × 1,486.19
  4. Step 4: Simplify right side
    693.73x = 2,208,753.29
  5. Step 5: Solve for x
    x = 2,208,753.29/693.73
  6. Step 6: Final answer
    x = 3,183.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.