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Finding the Third Proportional to 345,626 and 494,247

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Solution

The third proportional to 345,626 and 494,247 is: 706,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,626 : 494,247 = 494,247 : x
  2. Step 2: Convert to fraction form
    345,626/494,247 = 494,247/x
  3. Step 3: Cross multiply
    345,626x = 494,247 × 494,247
  4. Step 4: Simplify right side
    345,626x = 244,280,097,009
  5. Step 5: Solve for x
    x = 244,280,097,009/345,626
  6. Step 6: Final answer
    x = 706,775.81

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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.