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Finding the Third Proportional to 527.13 and 759.22

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Solution

The third proportional to 527.13 and 759.22 is: 1,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 759.22 = 759.22 : x
  2. Step 2: Convert to fraction form
    527.13/759.22 = 759.22/x
  3. Step 3: Cross multiply
    527.13x = 759.22 × 759.22
  4. Step 4: Simplify right side
    527.13x = 576,410.14
  5. Step 5: Solve for x
    x = 576,410.14/527.13
  6. Step 6: Final answer
    x = 1,093.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.