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Finding the Third Proportional to 683.06 and 1,477.69

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Solution

The third proportional to 683.06 and 1,477.69 is: 3,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.06 : 1,477.69 = 1,477.69 : x
  2. Step 2: Convert to fraction form
    683.06/1,477.69 = 1,477.69/x
  3. Step 3: Cross multiply
    683.06x = 1,477.69 × 1,477.69
  4. Step 4: Simplify right side
    683.06x = 2,183,560.35
  5. Step 5: Solve for x
    x = 2,183,560.35/683.06
  6. Step 6: Final answer
    x = 3,196.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.