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Finding the Third Proportional to 466.07 and 759.85

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Solution

The third proportional to 466.07 and 759.85 is: 1,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.07 : 759.85 = 759.85 : x
  2. Step 2: Convert to fraction form
    466.07/759.85 = 759.85/x
  3. Step 3: Cross multiply
    466.07x = 759.85 × 759.85
  4. Step 4: Simplify right side
    466.07x = 577,371.43
  5. Step 5: Solve for x
    x = 577,371.43/466.07
  6. Step 6: Final answer
    x = 1,238.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.