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Finding the Third Proportional to 1,124.44 and 1,679.06

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Solution

The third proportional to 1,124.44 and 1,679.06 is: 2,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.44 : 1,679.06 = 1,679.06 : x
  2. Step 2: Convert to fraction form
    1,124.44/1,679.06 = 1,679.06/x
  3. Step 3: Cross multiply
    1,124.44x = 1,679.06 × 1,679.06
  4. Step 4: Simplify right side
    1,124.44x = 2,819,250.88
  5. Step 5: Solve for x
    x = 2,819,250.88/1,124.44
  6. Step 6: Final answer
    x = 2,507.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.