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Finding the Third Proportional to 535,204 and 826,790

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Solution

The third proportional to 535,204 and 826,790 is: 1,277,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,204 : 826,790 = 826,790 : x
  2. Step 2: Convert to fraction form
    535,204/826,790 = 826,790/x
  3. Step 3: Cross multiply
    535,204x = 826,790 × 826,790
  4. Step 4: Simplify right side
    535,204x = 683,581,704,100
  5. Step 5: Solve for x
    x = 683,581,704,100/535,204
  6. Step 6: Final answer
    x = 1,277,235.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.