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Finding the Third Proportional to 726.94 and 1,589.63

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Solution

The third proportional to 726.94 and 1,589.63 is: 3,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.94 : 1,589.63 = 1,589.63 : x
  2. Step 2: Convert to fraction form
    726.94/1,589.63 = 1,589.63/x
  3. Step 3: Cross multiply
    726.94x = 1,589.63 × 1,589.63
  4. Step 4: Simplify right side
    726.94x = 2,526,907.64
  5. Step 5: Solve for x
    x = 2,526,907.64/726.94
  6. Step 6: Final answer
    x = 3,476.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.