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Finding the Third Proportional to 323,928 and 508,098

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Solution

The third proportional to 323,928 and 508,098 is: 796,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,928 : 508,098 = 508,098 : x
  2. Step 2: Convert to fraction form
    323,928/508,098 = 508,098/x
  3. Step 3: Cross multiply
    323,928x = 508,098 × 508,098
  4. Step 4: Simplify right side
    323,928x = 258,163,577,604
  5. Step 5: Solve for x
    x = 258,163,577,604/323,928
  6. Step 6: Final answer
    x = 796,978.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.