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Finding the Third Proportional to 449.63 and 674.63

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Solution

The third proportional to 449.63 and 674.63 is: 1,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.63 : 674.63 = 674.63 : x
  2. Step 2: Convert to fraction form
    449.63/674.63 = 674.63/x
  3. Step 3: Cross multiply
    449.63x = 674.63 × 674.63
  4. Step 4: Simplify right side
    449.63x = 455,118.89
  5. Step 5: Solve for x
    x = 455,118.89/449.63
  6. Step 6: Final answer
    x = 1,012.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.