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Finding the Third Proportional to 744.66 and 1,626.01

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Solution

The third proportional to 744.66 and 1,626.01 is: 3,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.66 : 1,626.01 = 1,626.01 : x
  2. Step 2: Convert to fraction form
    744.66/1,626.01 = 1,626.01/x
  3. Step 3: Cross multiply
    744.66x = 1,626.01 × 1,626.01
  4. Step 4: Simplify right side
    744.66x = 2,643,914.11
  5. Step 5: Solve for x
    x = 2,643,914.11/744.66
  6. Step 6: Final answer
    x = 3,550.49

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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.