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Finding the Third Proportional to 629,395.88 and 949,319.44

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Solution

The third proportional to 629,395.88 and 949,319.44 is: 1,431,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,395.88 : 949,319.44 = 949,319.44 : x
  2. Step 2: Convert to fraction form
    629,395.88/949,319.44 = 949,319.44/x
  3. Step 3: Cross multiply
    629,395.88x = 949,319.44 × 949,319.44
  4. Step 4: Simplify right side
    629,395.88x = 901,207,394,415.32
  5. Step 5: Solve for x
    x = 901,207,394,415.32/629,395.88
  6. Step 6: Final answer
    x = 1,431,860.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.