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Finding the Third Proportional to 327,137 and 492,345

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Solution

The third proportional to 327,137 and 492,345 is: 740,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,137 : 492,345 = 492,345 : x
  2. Step 2: Convert to fraction form
    327,137/492,345 = 492,345/x
  3. Step 3: Cross multiply
    327,137x = 492,345 × 492,345
  4. Step 4: Simplify right side
    327,137x = 242,403,599,025
  5. Step 5: Solve for x
    x = 242,403,599,025/327,137
  6. Step 6: Final answer
    x = 740,984.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.