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Finding the Third Proportional to 366.63 and 548.06

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Solution

The third proportional to 366.63 and 548.06 is: 819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.63 : 548.06 = 548.06 : x
  2. Step 2: Convert to fraction form
    366.63/548.06 = 548.06/x
  3. Step 3: Cross multiply
    366.63x = 548.06 × 548.06
  4. Step 4: Simplify right side
    366.63x = 300,372.50
  5. Step 5: Solve for x
    x = 300,372.50/366.63
  6. Step 6: Final answer
    x = 819.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.