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Finding the Third Proportional to 328,586 and 494,338

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Solution

The third proportional to 328,586 and 494,338 is: 743,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,586 : 494,338 = 494,338 : x
  2. Step 2: Convert to fraction form
    328,586/494,338 = 494,338/x
  3. Step 3: Cross multiply
    328,586x = 494,338 × 494,338
  4. Step 4: Simplify right side
    328,586x = 244,370,058,244
  5. Step 5: Solve for x
    x = 244,370,058,244/328,586
  6. Step 6: Final answer
    x = 743,701.98

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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.