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Finding the Third Proportional to 339,520 and 737,450

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Solution

The third proportional to 339,520 and 737,450 is: 1,601,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,520 : 737,450 = 737,450 : x
  2. Step 2: Convert to fraction form
    339,520/737,450 = 737,450/x
  3. Step 3: Cross multiply
    339,520x = 737,450 × 737,450
  4. Step 4: Simplify right side
    339,520x = 543,832,502,500
  5. Step 5: Solve for x
    x = 543,832,502,500/339,520
  6. Step 6: Final answer
    x = 1,601,768.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.