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Finding the Third Proportional to 341.69 and 512.88

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Solution

The third proportional to 341.69 and 512.88 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.69 : 512.88 = 512.88 : x
  2. Step 2: Convert to fraction form
    341.69/512.88 = 512.88/x
  3. Step 3: Cross multiply
    341.69x = 512.88 × 512.88
  4. Step 4: Simplify right side
    341.69x = 263,040.77
  5. Step 5: Solve for x
    x = 263,040.77/341.69
  6. Step 6: Final answer
    x = 769.83

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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.