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Finding the Third Proportional to 677.63 and 1,479.75

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Solution

The third proportional to 677.63 and 1,479.75 is: 3,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.63 : 1,479.75 = 1,479.75 : x
  2. Step 2: Convert to fraction form
    677.63/1,479.75 = 1,479.75/x
  3. Step 3: Cross multiply
    677.63x = 1,479.75 × 1,479.75
  4. Step 4: Simplify right side
    677.63x = 2,189,660.06
  5. Step 5: Solve for x
    x = 2,189,660.06/677.63
  6. Step 6: Final answer
    x = 3,231.37

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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.