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Finding the Third Proportional to 527.91 and 704.67

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Solution

The third proportional to 527.91 and 704.67 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.91 : 704.67 = 704.67 : x
  2. Step 2: Convert to fraction form
    527.91/704.67 = 704.67/x
  3. Step 3: Cross multiply
    527.91x = 704.67 × 704.67
  4. Step 4: Simplify right side
    527.91x = 496,562.45
  5. Step 5: Solve for x
    x = 496,562.45/527.91
  6. Step 6: Final answer
    x = 940.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.