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Finding the Third Proportional to 413,544.75 and 632,481.75

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Solution

The third proportional to 413,544.75 and 632,481.75 is: 967,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,544.75 : 632,481.75 = 632,481.75 : x
  2. Step 2: Convert to fraction form
    413,544.75/632,481.75 = 632,481.75/x
  3. Step 3: Cross multiply
    413,544.75x = 632,481.75 × 632,481.75
  4. Step 4: Simplify right side
    413,544.75x = 400,033,164,083.06
  5. Step 5: Solve for x
    x = 400,033,164,083.06/413,544.75
  6. Step 6: Final answer
    x = 967,327.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.