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Finding the Third Proportional to 312,756 and 682,870

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Solution

The third proportional to 312,756 and 682,870 is: 1,490,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,756 : 682,870 = 682,870 : x
  2. Step 2: Convert to fraction form
    312,756/682,870 = 682,870/x
  3. Step 3: Cross multiply
    312,756x = 682,870 × 682,870
  4. Step 4: Simplify right side
    312,756x = 466,311,436,900
  5. Step 5: Solve for x
    x = 466,311,436,900/312,756
  6. Step 6: Final answer
    x = 1,490,975.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.