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Finding the Third Proportional to 677.75 and 1,477.75

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Solution

The third proportional to 677.75 and 1,477.75 is: 3,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.75 : 1,477.75 = 1,477.75 : x
  2. Step 2: Convert to fraction form
    677.75/1,477.75 = 1,477.75/x
  3. Step 3: Cross multiply
    677.75x = 1,477.75 × 1,477.75
  4. Step 4: Simplify right side
    677.75x = 2,183,745.06
  5. Step 5: Solve for x
    x = 2,183,745.06/677.75
  6. Step 6: Final answer
    x = 3,222.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.