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Finding the Third Proportional to 203,460 and 441,947

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Solution

The third proportional to 203,460 and 441,947 is: 959,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,460 : 441,947 = 441,947 : x
  2. Step 2: Convert to fraction form
    203,460/441,947 = 441,947/x
  3. Step 3: Cross multiply
    203,460x = 441,947 × 441,947
  4. Step 4: Simplify right side
    203,460x = 195,317,150,809
  5. Step 5: Solve for x
    x = 195,317,150,809/203,460
  6. Step 6: Final answer
    x = 959,978.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.