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Finding the Third Proportional to 548.63 and 836.81

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Solution

The third proportional to 548.63 and 836.81 is: 1,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.63 : 836.81 = 836.81 : x
  2. Step 2: Convert to fraction form
    548.63/836.81 = 836.81/x
  3. Step 3: Cross multiply
    548.63x = 836.81 × 836.81
  4. Step 4: Simplify right side
    548.63x = 700,255.16
  5. Step 5: Solve for x
    x = 700,255.16/548.63
  6. Step 6: Final answer
    x = 1,276.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.