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Finding the Third Proportional to 353.46 and 464.77

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Solution

The third proportional to 353.46 and 464.77 is: 611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.46 : 464.77 = 464.77 : x
  2. Step 2: Convert to fraction form
    353.46/464.77 = 464.77/x
  3. Step 3: Cross multiply
    353.46x = 464.77 × 464.77
  4. Step 4: Simplify right side
    353.46x = 216,007.09
  5. Step 5: Solve for x
    x = 216,007.09/353.46
  6. Step 6: Final answer
    x = 611.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.