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Finding the Third Proportional to 447,777 and 946,094.50

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Solution

The third proportional to 447,777 and 946,094.50 is: 1,998,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,777 : 946,094.50 = 946,094.50 : x
  2. Step 2: Convert to fraction form
    447,777/946,094.50 = 946,094.50/x
  3. Step 3: Cross multiply
    447,777x = 946,094.50 × 946,094.50
  4. Step 4: Simplify right side
    447,777x = 895,094,802,930.25
  5. Step 5: Solve for x
    x = 895,094,802,930.25/447,777
  6. Step 6: Final answer
    x = 1,998,974.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.