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Finding the Third Proportional to 406.97 and 840.94

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Solution

The third proportional to 406.97 and 840.94 is: 1,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 840.94 = 840.94 : x
  2. Step 2: Convert to fraction form
    406.97/840.94 = 840.94/x
  3. Step 3: Cross multiply
    406.97x = 840.94 × 840.94
  4. Step 4: Simplify right side
    406.97x = 707,175.88
  5. Step 5: Solve for x
    x = 707,175.88/406.97
  6. Step 6: Final answer
    x = 1,737.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.