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Finding the Third Proportional to 368.16 and 774.19

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Solution

The third proportional to 368.16 and 774.19 is: 1,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 774.19 = 774.19 : x
  2. Step 2: Convert to fraction form
    368.16/774.19 = 774.19/x
  3. Step 3: Cross multiply
    368.16x = 774.19 × 774.19
  4. Step 4: Simplify right side
    368.16x = 599,366.29
  5. Step 5: Solve for x
    x = 599,366.29/368.16
  6. Step 6: Final answer
    x = 1,628.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.