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Finding the Third Proportional to 441,018 and 659,799

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Solution

The third proportional to 441,018 and 659,799 is: 987,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,018 : 659,799 = 659,799 : x
  2. Step 2: Convert to fraction form
    441,018/659,799 = 659,799/x
  3. Step 3: Cross multiply
    441,018x = 659,799 × 659,799
  4. Step 4: Simplify right side
    441,018x = 435,334,720,401
  5. Step 5: Solve for x
    x = 435,334,720,401/441,018
  6. Step 6: Final answer
    x = 987,113.27

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