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Finding the Third Proportional to 525.66 and 1,033.31

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Solution

The third proportional to 525.66 and 1,033.31 is: 2,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.66 : 1,033.31 = 1,033.31 : x
  2. Step 2: Convert to fraction form
    525.66/1,033.31 = 1,033.31/x
  3. Step 3: Cross multiply
    525.66x = 1,033.31 × 1,033.31
  4. Step 4: Simplify right side
    525.66x = 1,067,734.72
  5. Step 5: Solve for x
    x = 1,067,734.72/525.66
  6. Step 6: Final answer
    x = 2,031.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.