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Finding the Third Proportional to 345,608 and 494,220

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Solution

The third proportional to 345,608 and 494,220 is: 706,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,608 : 494,220 = 494,220 : x
  2. Step 2: Convert to fraction form
    345,608/494,220 = 494,220/x
  3. Step 3: Cross multiply
    345,608x = 494,220 × 494,220
  4. Step 4: Simplify right side
    345,608x = 244,253,408,400
  5. Step 5: Solve for x
    x = 244,253,408,400/345,608
  6. Step 6: Final answer
    x = 706,735.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.