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Finding the Third Proportional to 409.25 and 890.50

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Solution

The third proportional to 409.25 and 890.50 is: 1,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 890.50 = 890.50 : x
  2. Step 2: Convert to fraction form
    409.25/890.50 = 890.50/x
  3. Step 3: Cross multiply
    409.25x = 890.50 × 890.50
  4. Step 4: Simplify right side
    409.25x = 792,990.25
  5. Step 5: Solve for x
    x = 792,990.25/409.25
  6. Step 6: Final answer
    x = 1,937.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.