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Finding the Third Proportional to 321,537.75 and 685,782.75

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Solution

The third proportional to 321,537.75 and 685,782.75 is: 1,462,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,537.75 : 685,782.75 = 685,782.75 : x
  2. Step 2: Convert to fraction form
    321,537.75/685,782.75 = 685,782.75/x
  3. Step 3: Cross multiply
    321,537.75x = 685,782.75 × 685,782.75
  4. Step 4: Simplify right side
    321,537.75x = 470,297,980,197.56
  5. Step 5: Solve for x
    x = 470,297,980,197.56/321,537.75
  6. Step 6: Final answer
    x = 1,462,652.46

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.