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Finding the Third Proportional to 674.88 and 1,482.63

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Solution

The third proportional to 674.88 and 1,482.63 is: 3,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.88 : 1,482.63 = 1,482.63 : x
  2. Step 2: Convert to fraction form
    674.88/1,482.63 = 1,482.63/x
  3. Step 3: Cross multiply
    674.88x = 1,482.63 × 1,482.63
  4. Step 4: Simplify right side
    674.88x = 2,198,176.89
  5. Step 5: Solve for x
    x = 2,198,176.89/674.88
  6. Step 6: Final answer
    x = 3,257.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.