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Finding the Third Proportional to 744.75 and 1,109.63

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Solution

The third proportional to 744.75 and 1,109.63 is: 1,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.75 : 1,109.63 = 1,109.63 : x
  2. Step 2: Convert to fraction form
    744.75/1,109.63 = 1,109.63/x
  3. Step 3: Cross multiply
    744.75x = 1,109.63 × 1,109.63
  4. Step 4: Simplify right side
    744.75x = 1,231,267.64
  5. Step 5: Solve for x
    x = 1,231,267.64/744.75
  6. Step 6: Final answer
    x = 1,653.26

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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.