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Finding the Third Proportional to 327,424 and 492,356

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Solution

The third proportional to 327,424 and 492,356 is: 740,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,424 : 492,356 = 492,356 : x
  2. Step 2: Convert to fraction form
    327,424/492,356 = 492,356/x
  3. Step 3: Cross multiply
    327,424x = 492,356 × 492,356
  4. Step 4: Simplify right side
    327,424x = 242,414,430,736
  5. Step 5: Solve for x
    x = 242,414,430,736/327,424
  6. Step 6: Final answer
    x = 740,368.55

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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.