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Finding the Third Proportional to 350,176 and 682,854

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Solution

The third proportional to 350,176 and 682,854 is: 1,331,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,176 : 682,854 = 682,854 : x
  2. Step 2: Convert to fraction form
    350,176/682,854 = 682,854/x
  3. Step 3: Cross multiply
    350,176x = 682,854 × 682,854
  4. Step 4: Simplify right side
    350,176x = 466,289,585,316
  5. Step 5: Solve for x
    x = 466,289,585,316/350,176
  6. Step 6: Final answer
    x = 1,331,586.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.