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Finding the Third Proportional to 493,668 and 739,200

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Solution

The third proportional to 493,668 and 739,200 is: 1,106,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,668 : 739,200 = 739,200 : x
  2. Step 2: Convert to fraction form
    493,668/739,200 = 739,200/x
  3. Step 3: Cross multiply
    493,668x = 739,200 × 739,200
  4. Step 4: Simplify right side
    493,668x = 546,416,640,000
  5. Step 5: Solve for x
    x = 546,416,640,000/493,668
  6. Step 6: Final answer
    x = 1,106,850.43

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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.