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Finding the Third Proportional to 354.06 and 759.14

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Solution

The third proportional to 354.06 and 759.14 is: 1,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 759.14 = 759.14 : x
  2. Step 2: Convert to fraction form
    354.06/759.14 = 759.14/x
  3. Step 3: Cross multiply
    354.06x = 759.14 × 759.14
  4. Step 4: Simplify right side
    354.06x = 576,290.04
  5. Step 5: Solve for x
    x = 576,290.04/354.06
  6. Step 6: Final answer
    x = 1,627.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.