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Finding the Third Proportional to 327,462.75 and 492,409.13

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Solution

The third proportional to 327,462.75 and 492,409.13 is: 740,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,462.75 : 492,409.13 = 492,409.13 : x
  2. Step 2: Convert to fraction form
    327,462.75/492,409.13 = 492,409.13/x
  3. Step 3: Cross multiply
    327,462.75x = 492,409.13 × 492,409.13
  4. Step 4: Simplify right side
    327,462.75x = 242,466,746,383.27
  5. Step 5: Solve for x
    x = 242,466,746,383.27/327,462.75
  6. Step 6: Final answer
    x = 740,440.70

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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.