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Finding the Third Proportional to 409,825,219.50 and 629,541,664.50

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Solution

The third proportional to 409,825,219.50 and 629,541,664.50 is: 967,052,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,825,219.50 : 629,541,664.50 = 629,541,664.50 : x
  2. Step 2: Convert to fraction form
    409,825,219.50/629,541,664.50 = 629,541,664.50/x
  3. Step 3: Cross multiply
    409,825,219.50x = 629,541,664.50 × 629,541,664.50
  4. Step 4: Simplify right side
    409,825,219.50x = 396,322,707,341,430,592
  5. Step 5: Solve for x
    x = 396,322,707,341,430,592/409,825,219.50
  6. Step 6: Final answer
    x = 967,052,998.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.