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Finding the Third Proportional to 441,916 and 675,711

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Solution

The third proportional to 441,916 and 675,711 is: 1,033,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,916 : 675,711 = 675,711 : x
  2. Step 2: Convert to fraction form
    441,916/675,711 = 675,711/x
  3. Step 3: Cross multiply
    441,916x = 675,711 × 675,711
  4. Step 4: Simplify right side
    441,916x = 456,585,355,521
  5. Step 5: Solve for x
    x = 456,585,355,521/441,916
  6. Step 6: Final answer
    x = 1,033,194.90

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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.