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Finding the Third Proportional to 262,457.72 and 394,687.69

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Solution

The third proportional to 262,457.72 and 394,687.69 is: 593,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,457.72 : 394,687.69 = 394,687.69 : x
  2. Step 2: Convert to fraction form
    262,457.72/394,687.69 = 394,687.69/x
  3. Step 3: Cross multiply
    262,457.72x = 394,687.69 × 394,687.69
  4. Step 4: Simplify right side
    262,457.72x = 155,778,370,664.10
  5. Step 5: Solve for x
    x = 155,778,370,664.10/262,457.72
  6. Step 6: Final answer
    x = 593,537.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.