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Finding the Third Proportional to 534,026.25 and 826,608.38

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Solution

The third proportional to 534,026.25 and 826,608.38 is: 1,279,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,026.25 : 826,608.38 = 826,608.38 : x
  2. Step 2: Convert to fraction form
    534,026.25/826,608.38 = 826,608.38/x
  3. Step 3: Cross multiply
    534,026.25x = 826,608.38 × 826,608.38
  4. Step 4: Simplify right side
    534,026.25x = 683,281,405,620.14
  5. Step 5: Solve for x
    x = 683,281,405,620.14/534,026.25
  6. Step 6: Final answer
    x = 1,279,490.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.