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Finding the Third Proportional to 667.95 and 1,480.07

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Solution

The third proportional to 667.95 and 1,480.07 is: 3,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.95 : 1,480.07 = 1,480.07 : x
  2. Step 2: Convert to fraction form
    667.95/1,480.07 = 1,480.07/x
  3. Step 3: Cross multiply
    667.95x = 1,480.07 × 1,480.07
  4. Step 4: Simplify right side
    667.95x = 2,190,605.24
  5. Step 5: Solve for x
    x = 2,190,605.24/667.95
  6. Step 6: Final answer
    x = 3,279.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.