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Finding the Third Proportional to 334.60 and 534.41

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Solution

The third proportional to 334.60 and 534.41 is: 853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.60 : 534.41 = 534.41 : x
  2. Step 2: Convert to fraction form
    334.60/534.41 = 534.41/x
  3. Step 3: Cross multiply
    334.60x = 534.41 × 534.41
  4. Step 4: Simplify right side
    334.60x = 285,594.22
  5. Step 5: Solve for x
    x = 285,594.22/334.60
  6. Step 6: Final answer
    x = 853.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.