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Finding the Third Proportional to 527.02 and 759.14

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Solution

The third proportional to 527.02 and 759.14 is: 1,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.02 : 759.14 = 759.14 : x
  2. Step 2: Convert to fraction form
    527.02/759.14 = 759.14/x
  3. Step 3: Cross multiply
    527.02x = 759.14 × 759.14
  4. Step 4: Simplify right side
    527.02x = 576,294.49
  5. Step 5: Solve for x
    x = 576,294.49/527.02
  6. Step 6: Final answer
    x = 1,093.51

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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.