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Finding the Third Proportional to 534,038 and 826,625

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Solution

The third proportional to 534,038 and 826,625 is: 1,279,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,038 : 826,625 = 826,625 : x
  2. Step 2: Convert to fraction form
    534,038/826,625 = 826,625/x
  3. Step 3: Cross multiply
    534,038x = 826,625 × 826,625
  4. Step 4: Simplify right side
    534,038x = 683,308,890,625
  5. Step 5: Solve for x
    x = 683,308,890,625/534,038
  6. Step 6: Final answer
    x = 1,279,513.61

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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.