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Finding the Third Proportional to 441,840 and 675,611

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Solution

The third proportional to 441,840 and 675,611 is: 1,033,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,840 : 675,611 = 675,611 : x
  2. Step 2: Convert to fraction form
    441,840/675,611 = 675,611/x
  3. Step 3: Cross multiply
    441,840x = 675,611 × 675,611
  4. Step 4: Simplify right side
    441,840x = 456,450,223,321
  5. Step 5: Solve for x
    x = 456,450,223,321/441,840
  6. Step 6: Final answer
    x = 1,033,066.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.