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Finding the Third Proportional to 327,409.88 and 492,333.19

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Solution

The third proportional to 327,409.88 and 492,333.19 is: 740,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,409.88 : 492,333.19 = 492,333.19 : x
  2. Step 2: Convert to fraction form
    327,409.88/492,333.19 = 492,333.19/x
  3. Step 3: Cross multiply
    327,409.88x = 492,333.19 × 492,333.19
  4. Step 4: Simplify right side
    327,409.88x = 242,391,967,513.91
  5. Step 5: Solve for x
    x = 242,391,967,513.91/327,409.88
  6. Step 6: Final answer
    x = 740,331.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.