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Finding the Third Proportional to 345,632 and 494,256

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Solution

The third proportional to 345,632 and 494,256 is: 706,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,632 : 494,256 = 494,256 : x
  2. Step 2: Convert to fraction form
    345,632/494,256 = 494,256/x
  3. Step 3: Cross multiply
    345,632x = 494,256 × 494,256
  4. Step 4: Simplify right side
    345,632x = 244,288,993,536
  5. Step 5: Solve for x
    x = 244,288,993,536/345,632
  6. Step 6: Final answer
    x = 706,789.28

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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.