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Finding the Third Proportional to 237,222 and 376,947

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Solution

The third proportional to 237,222 and 376,947 is: 598,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,222 : 376,947 = 376,947 : x
  2. Step 2: Convert to fraction form
    237,222/376,947 = 376,947/x
  3. Step 3: Cross multiply
    237,222x = 376,947 × 376,947
  4. Step 4: Simplify right side
    237,222x = 142,089,040,809
  5. Step 5: Solve for x
    x = 142,089,040,809/237,222
  6. Step 6: Final answer
    x = 598,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.