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Finding the Third Proportional to 726.15 and 1,563.36

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Solution

The third proportional to 726.15 and 1,563.36 is: 3,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.15 : 1,563.36 = 1,563.36 : x
  2. Step 2: Convert to fraction form
    726.15/1,563.36 = 1,563.36/x
  3. Step 3: Cross multiply
    726.15x = 1,563.36 × 1,563.36
  4. Step 4: Simplify right side
    726.15x = 2,444,104.75
  5. Step 5: Solve for x
    x = 2,444,104.75/726.15
  6. Step 6: Final answer
    x = 3,365.83

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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.