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Finding the Third Proportional to 327,411.38 and 492,335.63

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Solution

The third proportional to 327,411.38 and 492,335.63 is: 740,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,411.38 : 492,335.63 = 492,335.63 : x
  2. Step 2: Convert to fraction form
    327,411.38/492,335.63 = 492,335.63/x
  3. Step 3: Cross multiply
    327,411.38x = 492,335.63 × 492,335.63
  4. Step 4: Simplify right side
    327,411.38x = 242,394,367,644.14
  5. Step 5: Solve for x
    x = 242,394,367,644.14/327,411.38
  6. Step 6: Final answer
    x = 740,335.82

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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.