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Finding the Third Proportional to 286,990.50 and 447,930

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Solution

The third proportional to 286,990.50 and 447,930 is: 699,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,990.50 : 447,930 = 447,930 : x
  2. Step 2: Convert to fraction form
    286,990.50/447,930 = 447,930/x
  3. Step 3: Cross multiply
    286,990.50x = 447,930 × 447,930
  4. Step 4: Simplify right side
    286,990.50x = 200,641,284,900
  5. Step 5: Solve for x
    x = 200,641,284,900/286,990.50
  6. Step 6: Final answer
    x = 699,121.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.