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Finding the Third Proportional to 327,412.13 and 492,336.56

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Solution

The third proportional to 327,412.13 and 492,336.56 is: 740,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,412.13 : 492,336.56 = 492,336.56 : x
  2. Step 2: Convert to fraction form
    327,412.13/492,336.56 = 492,336.56/x
  3. Step 3: Cross multiply
    327,412.13x = 492,336.56 × 492,336.56
  4. Step 4: Simplify right side
    327,412.13x = 242,395,290,774.32
  5. Step 5: Solve for x
    x = 242,395,290,774.32/327,412.13
  6. Step 6: Final answer
    x = 740,336.94

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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.