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Finding the Third Proportional to 327,735 and 442,795.50

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Solution

The third proportional to 327,735 and 442,795.50 is: 598,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,735 : 442,795.50 = 442,795.50 : x
  2. Step 2: Convert to fraction form
    327,735/442,795.50 = 442,795.50/x
  3. Step 3: Cross multiply
    327,735x = 442,795.50 × 442,795.50
  4. Step 4: Simplify right side
    327,735x = 196,067,854,820.25
  5. Step 5: Solve for x
    x = 196,067,854,820.25/327,735
  6. Step 6: Final answer
    x = 598,251.19

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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.