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Finding the Third Proportional to 303,204 and 470,794.50

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Solution

The third proportional to 303,204 and 470,794.50 is: 731,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,204 : 470,794.50 = 470,794.50 : x
  2. Step 2: Convert to fraction form
    303,204/470,794.50 = 470,794.50/x
  3. Step 3: Cross multiply
    303,204x = 470,794.50 × 470,794.50
  4. Step 4: Simplify right side
    303,204x = 221,647,461,230.25
  5. Step 5: Solve for x
    x = 221,647,461,230.25/303,204
  6. Step 6: Final answer
    x = 731,017.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.