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Finding the Third Proportional to 629,237.75 and 943,924.25

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Solution

The third proportional to 629,237.75 and 943,924.25 is: 1,415,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,237.75 : 943,924.25 = 943,924.25 : x
  2. Step 2: Convert to fraction form
    629,237.75/943,924.25 = 943,924.25/x
  3. Step 3: Cross multiply
    629,237.75x = 943,924.25 × 943,924.25
  4. Step 4: Simplify right side
    629,237.75x = 890,992,989,738.06
  5. Step 5: Solve for x
    x = 890,992,989,738.06/629,237.75
  6. Step 6: Final answer
    x = 1,415,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.