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Finding the Third Proportional to 289,968 and 588,112

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Solution

The third proportional to 289,968 and 588,112 is: 1,192,806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,968 : 588,112 = 588,112 : x
  2. Step 2: Convert to fraction form
    289,968/588,112 = 588,112/x
  3. Step 3: Cross multiply
    289,968x = 588,112 × 588,112
  4. Step 4: Simplify right side
    289,968x = 345,875,724,544
  5. Step 5: Solve for x
    x = 345,875,724,544/289,968
  6. Step 6: Final answer
    x = 1,192,806.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.