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Finding the Third Proportional to 416,364.50 and 629,083

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Solution

The third proportional to 416,364.50 and 629,083 is: 950,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,364.50 : 629,083 = 629,083 : x
  2. Step 2: Convert to fraction form
    416,364.50/629,083 = 629,083/x
  3. Step 3: Cross multiply
    416,364.50x = 629,083 × 629,083
  4. Step 4: Simplify right side
    416,364.50x = 395,745,420,889
  5. Step 5: Solve for x
    x = 395,745,420,889/416,364.50
  6. Step 6: Final answer
    x = 950,478.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.