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Finding the Third Proportional to 303,364.50 and 437,004

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Solution

The third proportional to 303,364.50 and 437,004 is: 629,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,364.50 : 437,004 = 437,004 : x
  2. Step 2: Convert to fraction form
    303,364.50/437,004 = 437,004/x
  3. Step 3: Cross multiply
    303,364.50x = 437,004 × 437,004
  4. Step 4: Simplify right side
    303,364.50x = 190,972,496,016
  5. Step 5: Solve for x
    x = 190,972,496,016/303,364.50
  6. Step 6: Final answer
    x = 629,514.98

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.