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Finding the Third Proportional to 534,188 and 826,031

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Solution

The third proportional to 534,188 and 826,031 is: 1,277,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,188 : 826,031 = 826,031 : x
  2. Step 2: Convert to fraction form
    534,188/826,031 = 826,031/x
  3. Step 3: Cross multiply
    534,188x = 826,031 × 826,031
  4. Step 4: Simplify right side
    534,188x = 682,327,212,961
  5. Step 5: Solve for x
    x = 682,327,212,961/534,188
  6. Step 6: Final answer
    x = 1,277,316.62

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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.