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Finding the Third Proportional to 534,024 and 826,605

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Solution

The third proportional to 534,024 and 826,605 is: 1,279,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,024 : 826,605 = 826,605 : x
  2. Step 2: Convert to fraction form
    534,024/826,605 = 826,605/x
  3. Step 3: Cross multiply
    534,024x = 826,605 × 826,605
  4. Step 4: Simplify right side
    534,024x = 683,275,826,025
  5. Step 5: Solve for x
    x = 683,275,826,025/534,024
  6. Step 6: Final answer
    x = 1,279,485.24

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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.