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Finding the Third Proportional to 291.88 and 409.44

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Solution

The third proportional to 291.88 and 409.44 is: 574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 409.44 = 409.44 : x
  2. Step 2: Convert to fraction form
    291.88/409.44 = 409.44/x
  3. Step 3: Cross multiply
    291.88x = 409.44 × 409.44
  4. Step 4: Simplify right side
    291.88x = 167,639.07
  5. Step 5: Solve for x
    x = 167,639.07/291.88
  6. Step 6: Final answer
    x = 574.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.