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Finding the Third Proportional to 327,689.25 and 442,728

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Solution

The third proportional to 327,689.25 and 442,728 is: 598,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,689.25 : 442,728 = 442,728 : x
  2. Step 2: Convert to fraction form
    327,689.25/442,728 = 442,728/x
  3. Step 3: Cross multiply
    327,689.25x = 442,728 × 442,728
  4. Step 4: Simplify right side
    327,689.25x = 196,008,081,984
  5. Step 5: Solve for x
    x = 196,008,081,984/327,689.25
  6. Step 6: Final answer
    x = 598,152.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.