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Finding the Third Proportional to 436,704.50 and 950,295.25

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Solution

The third proportional to 436,704.50 and 950,295.25 is: 2,067,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,704.50 : 950,295.25 = 950,295.25 : x
  2. Step 2: Convert to fraction form
    436,704.50/950,295.25 = 950,295.25/x
  3. Step 3: Cross multiply
    436,704.50x = 950,295.25 × 950,295.25
  4. Step 4: Simplify right side
    436,704.50x = 903,061,062,172.56
  5. Step 5: Solve for x
    x = 903,061,062,172.56/436,704.50
  6. Step 6: Final answer
    x = 2,067,899.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.