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Finding the Third Proportional to 266,869.69 and 426,834.56

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Solution

The third proportional to 266,869.69 and 426,834.56 is: 682,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,869.69 : 426,834.56 = 426,834.56 : x
  2. Step 2: Convert to fraction form
    266,869.69/426,834.56 = 426,834.56/x
  3. Step 3: Cross multiply
    266,869.69x = 426,834.56 × 426,834.56
  4. Step 4: Simplify right side
    266,869.69x = 182,187,743,744.57
  5. Step 5: Solve for x
    x = 182,187,743,744.57/266,869.69
  6. Step 6: Final answer
    x = 682,684.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.