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Finding the Third Proportional to 471.97 and 671.19

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Solution

The third proportional to 471.97 and 671.19 is: 954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 671.19 = 671.19 : x
  2. Step 2: Convert to fraction form
    471.97/671.19 = 671.19/x
  3. Step 3: Cross multiply
    471.97x = 671.19 × 671.19
  4. Step 4: Simplify right side
    471.97x = 450,492.66
  5. Step 5: Solve for x
    x = 450,492.66/471.97
  6. Step 6: Final answer
    x = 954.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.