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Finding the Third Proportional to 548.72 and 1,190.67

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Solution

The third proportional to 548.72 and 1,190.67 is: 2,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 1,190.67 = 1,190.67 : x
  2. Step 2: Convert to fraction form
    548.72/1,190.67 = 1,190.67/x
  3. Step 3: Cross multiply
    548.72x = 1,190.67 × 1,190.67
  4. Step 4: Simplify right side
    548.72x = 1,417,699.51
  5. Step 5: Solve for x
    x = 1,417,699.51/548.72
  6. Step 6: Final answer
    x = 2,583.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.