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Finding the Third Proportional to 421,665 and 858,949.50

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Solution

The third proportional to 421,665 and 858,949.50 is: 1,749,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,665 : 858,949.50 = 858,949.50 : x
  2. Step 2: Convert to fraction form
    421,665/858,949.50 = 858,949.50/x
  3. Step 3: Cross multiply
    421,665x = 858,949.50 × 858,949.50
  4. Step 4: Simplify right side
    421,665x = 737,794,243,550.25
  5. Step 5: Solve for x
    x = 737,794,243,550.25/421,665
  6. Step 6: Final answer
    x = 1,749,716.58

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.