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Finding the Third Proportional to 409,276,389.94 and 629,093,825.44

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Solution

The third proportional to 409,276,389.94 and 629,093,825.44 is: 966,972,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,276,389.94 : 629,093,825.44 = 629,093,825.44 : x
  2. Step 2: Convert to fraction form
    409,276,389.94/629,093,825.44 = 629,093,825.44/x
  3. Step 3: Cross multiply
    409,276,389.94x = 629,093,825.44 × 629,093,825.44
  4. Step 4: Simplify right side
    409,276,389.94x = 395,759,041,203,587,712
  5. Step 5: Solve for x
    x = 395,759,041,203,587,712/409,276,389.94
  6. Step 6: Final answer
    x = 966,972,566.54

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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.