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Finding the Third Proportional to 577.97 and 1,243.27

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Solution

The third proportional to 577.97 and 1,243.27 is: 2,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.97 : 1,243.27 = 1,243.27 : x
  2. Step 2: Convert to fraction form
    577.97/1,243.27 = 1,243.27/x
  3. Step 3: Cross multiply
    577.97x = 1,243.27 × 1,243.27
  4. Step 4: Simplify right side
    577.97x = 1,545,709.41
  5. Step 5: Solve for x
    x = 1,545,709.41/577.97
  6. Step 6: Final answer
    x = 2,674.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.