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Finding the Third Proportional to 449,999.25 and 950,583

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Solution

The third proportional to 449,999.25 and 950,583 is: 2,008,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,999.25 : 950,583 = 950,583 : x
  2. Step 2: Convert to fraction form
    449,999.25/950,583 = 950,583/x
  3. Step 3: Cross multiply
    449,999.25x = 950,583 × 950,583
  4. Step 4: Simplify right side
    449,999.25x = 903,608,039,889
  5. Step 5: Solve for x
    x = 903,608,039,889/449,999.25
  6. Step 6: Final answer
    x = 2,008,021.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.