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Finding the Third Proportional to 308,668 and 409,671

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Solution

The third proportional to 308,668 and 409,671 is: 543,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,668 : 409,671 = 409,671 : x
  2. Step 2: Convert to fraction form
    308,668/409,671 = 409,671/x
  3. Step 3: Cross multiply
    308,668x = 409,671 × 409,671
  4. Step 4: Simplify right side
    308,668x = 167,830,328,241
  5. Step 5: Solve for x
    x = 167,830,328,241/308,668
  6. Step 6: Final answer
    x = 543,724.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.