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Finding the Third Proportional to 277,441.45 and 416,200.62

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Solution

The third proportional to 277,441.45 and 416,200.62 is: 624,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,441.45 : 416,200.62 = 416,200.62 : x
  2. Step 2: Convert to fraction form
    277,441.45/416,200.62 = 416,200.62/x
  3. Step 3: Cross multiply
    277,441.45x = 416,200.62 × 416,200.62
  4. Step 4: Simplify right side
    277,441.45x = 173,222,958,624.61
  5. Step 5: Solve for x
    x = 173,222,958,624.61/277,441.45
  6. Step 6: Final answer
    x = 624,358.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.