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Finding the Third Proportional to 395,384,039.50 and 823,493,765

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Solution

The third proportional to 395,384,039.50 and 823,493,765 is: 1,715,147,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,384,039.50 : 823,493,765 = 823,493,765 : x
  2. Step 2: Convert to fraction form
    395,384,039.50/823,493,765 = 823,493,765/x
  3. Step 3: Cross multiply
    395,384,039.50x = 823,493,765 × 823,493,765
  4. Step 4: Simplify right side
    395,384,039.50x = 678,141,980,993,875,200
  5. Step 5: Solve for x
    x = 678,141,980,993,875,200/395,384,039.50
  6. Step 6: Final answer
    x = 1,715,147,586.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.