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Finding the Third Proportional to 675.21 and 1,012.82

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Solution

The third proportional to 675.21 and 1,012.82 is: 1,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.21 : 1,012.82 = 1,012.82 : x
  2. Step 2: Convert to fraction form
    675.21/1,012.82 = 1,012.82/x
  3. Step 3: Cross multiply
    675.21x = 1,012.82 × 1,012.82
  4. Step 4: Simplify right side
    675.21x = 1,025,797.07
  5. Step 5: Solve for x
    x = 1,025,797.07/675.21
  6. Step 6: Final answer
    x = 1,519.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.