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Finding the Third Proportional to 535,208 and 826,796

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Solution

The third proportional to 535,208 and 826,796 is: 1,277,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,208 : 826,796 = 826,796 : x
  2. Step 2: Convert to fraction form
    535,208/826,796 = 826,796/x
  3. Step 3: Cross multiply
    535,208x = 826,796 × 826,796
  4. Step 4: Simplify right side
    535,208x = 683,591,625,616
  5. Step 5: Solve for x
    x = 683,591,625,616/535,208
  6. Step 6: Final answer
    x = 1,277,244.78

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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.