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Finding the Third Proportional to 449,724 and 963,204

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Solution

The third proportional to 449,724 and 963,204 is: 2,062,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,724 : 963,204 = 963,204 : x
  2. Step 2: Convert to fraction form
    449,724/963,204 = 963,204/x
  3. Step 3: Cross multiply
    449,724x = 963,204 × 963,204
  4. Step 4: Simplify right side
    449,724x = 927,761,945,616
  5. Step 5: Solve for x
    x = 927,761,945,616/449,724
  6. Step 6: Final answer
    x = 2,062,958.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.