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Finding the Third Proportional to 327,616 and 493,732

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Solution

The third proportional to 327,616 and 493,732 is: 744,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,616 : 493,732 = 493,732 : x
  2. Step 2: Convert to fraction form
    327,616/493,732 = 493,732/x
  3. Step 3: Cross multiply
    327,616x = 493,732 × 493,732
  4. Step 4: Simplify right side
    327,616x = 243,771,287,824
  5. Step 5: Solve for x
    x = 243,771,287,824/327,616
  6. Step 6: Final answer
    x = 744,076.26

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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.