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Finding the Third Proportional to 328,431 and 494,104.50

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Solution

The third proportional to 328,431 and 494,104.50 is: 743,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,431 : 494,104.50 = 494,104.50 : x
  2. Step 2: Convert to fraction form
    328,431/494,104.50 = 494,104.50/x
  3. Step 3: Cross multiply
    328,431x = 494,104.50 × 494,104.50
  4. Step 4: Simplify right side
    328,431x = 244,139,256,920.25
  5. Step 5: Solve for x
    x = 244,139,256,920.25/328,431
  6. Step 6: Final answer
    x = 743,350.22

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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.