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Finding the Third Proportional to 327,614 and 493,728

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Solution

The third proportional to 327,614 and 493,728 is: 744,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,614 : 493,728 = 493,728 : x
  2. Step 2: Convert to fraction form
    327,614/493,728 = 493,728/x
  3. Step 3: Cross multiply
    327,614x = 493,728 × 493,728
  4. Step 4: Simplify right side
    327,614x = 243,767,337,984
  5. Step 5: Solve for x
    x = 243,767,337,984/327,614
  6. Step 6: Final answer
    x = 744,068.75

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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.