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Finding the Third Proportional to 744.56 and 1,619.91

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Solution

The third proportional to 744.56 and 1,619.91 is: 3,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.56 : 1,619.91 = 1,619.91 : x
  2. Step 2: Convert to fraction form
    744.56/1,619.91 = 1,619.91/x
  3. Step 3: Cross multiply
    744.56x = 1,619.91 × 1,619.91
  4. Step 4: Simplify right side
    744.56x = 2,624,096.26
  5. Step 5: Solve for x
    x = 2,624,096.26/744.56
  6. Step 6: Final answer
    x = 3,524.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.