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Finding the Third Proportional to 677.44 and 1,478.88

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Solution

The third proportional to 677.44 and 1,478.88 is: 3,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 1,478.88 = 1,478.88 : x
  2. Step 2: Convert to fraction form
    677.44/1,478.88 = 1,478.88/x
  3. Step 3: Cross multiply
    677.44x = 1,478.88 × 1,478.88
  4. Step 4: Simplify right side
    677.44x = 2,187,071.27
  5. Step 5: Solve for x
    x = 2,187,071.27/677.44
  6. Step 6: Final answer
    x = 3,228.45

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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.