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Finding the Third Proportional to 621,447.75 and 959,645.25

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Solution

The third proportional to 621,447.75 and 959,645.25 is: 1,481,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,447.75 : 959,645.25 = 959,645.25 : x
  2. Step 2: Convert to fraction form
    621,447.75/959,645.25 = 959,645.25/x
  3. Step 3: Cross multiply
    621,447.75x = 959,645.25 × 959,645.25
  4. Step 4: Simplify right side
    621,447.75x = 920,919,005,847.56
  5. Step 5: Solve for x
    x = 920,919,005,847.56/621,447.75
  6. Step 6: Final answer
    x = 1,481,892.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.