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Finding the Third Proportional to 371.62 and 556.72

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Solution

The third proportional to 371.62 and 556.72 is: 834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.62 : 556.72 = 556.72 : x
  2. Step 2: Convert to fraction form
    371.62/556.72 = 556.72/x
  3. Step 3: Cross multiply
    371.62x = 556.72 × 556.72
  4. Step 4: Simplify right side
    371.62x = 309,933.59
  5. Step 5: Solve for x
    x = 309,933.59/371.62
  6. Step 6: Final answer
    x = 834.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.