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Finding the Third Proportional to 262,632 and 393,852

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Solution

The third proportional to 262,632 and 393,852 is: 590,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,632 : 393,852 = 393,852 : x
  2. Step 2: Convert to fraction form
    262,632/393,852 = 393,852/x
  3. Step 3: Cross multiply
    262,632x = 393,852 × 393,852
  4. Step 4: Simplify right side
    262,632x = 155,119,397,904
  5. Step 5: Solve for x
    x = 155,119,397,904/262,632
  6. Step 6: Final answer
    x = 590,634.04

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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.