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Finding the Third Proportional to 442.49 and 682.80

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Solution

The third proportional to 442.49 and 682.80 is: 1,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.49 : 682.80 = 682.80 : x
  2. Step 2: Convert to fraction form
    442.49/682.80 = 682.80/x
  3. Step 3: Cross multiply
    442.49x = 682.80 × 682.80
  4. Step 4: Simplify right side
    442.49x = 466,222.24
  5. Step 5: Solve for x
    x = 466,222.24/442.49
  6. Step 6: Final answer
    x = 1,053.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.