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Finding the Third Proportional to 573.80 and 1,238.73

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Solution

The third proportional to 573.80 and 1,238.73 is: 2,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 1,238.73 = 1,238.73 : x
  2. Step 2: Convert to fraction form
    573.80/1,238.73 = 1,238.73/x
  3. Step 3: Cross multiply
    573.80x = 1,238.73 × 1,238.73
  4. Step 4: Simplify right side
    573.80x = 1,534,453.17
  5. Step 5: Solve for x
    x = 1,534,453.17/573.80
  6. Step 6: Final answer
    x = 2,674.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.