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Finding the Third Proportional to 534,200 and 826,048

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Solution

The third proportional to 534,200 and 826,048 is: 1,277,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,200 : 826,048 = 826,048 : x
  2. Step 2: Convert to fraction form
    534,200/826,048 = 826,048/x
  3. Step 3: Cross multiply
    534,200x = 826,048 × 826,048
  4. Step 4: Simplify right side
    534,200x = 682,355,298,304
  5. Step 5: Solve for x
    x = 682,355,298,304/534,200
  6. Step 6: Final answer
    x = 1,277,340.51

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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.