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Finding the Third Proportional to 356.91 and 774.47

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Solution

The third proportional to 356.91 and 774.47 is: 1,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 774.47 = 774.47 : x
  2. Step 2: Convert to fraction form
    356.91/774.47 = 774.47/x
  3. Step 3: Cross multiply
    356.91x = 774.47 × 774.47
  4. Step 4: Simplify right side
    356.91x = 599,801.84
  5. Step 5: Solve for x
    x = 599,801.84/356.91
  6. Step 6: Final answer
    x = 1,680.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.