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Finding the Third Proportional to 614.14 and 1,285.24

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Solution

The third proportional to 614.14 and 1,285.24 is: 2,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 1,285.24 = 1,285.24 : x
  2. Step 2: Convert to fraction form
    614.14/1,285.24 = 1,285.24/x
  3. Step 3: Cross multiply
    614.14x = 1,285.24 × 1,285.24
  4. Step 4: Simplify right side
    614.14x = 1,651,847.48
  5. Step 5: Solve for x
    x = 1,651,847.48/614.14
  6. Step 6: Final answer
    x = 2,689.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.