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Finding the Third Proportional to 577,524 and 892,542

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Solution

The third proportional to 577,524 and 892,542 is: 1,379,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,524 : 892,542 = 892,542 : x
  2. Step 2: Convert to fraction form
    577,524/892,542 = 892,542/x
  3. Step 3: Cross multiply
    577,524x = 892,542 × 892,542
  4. Step 4: Simplify right side
    577,524x = 796,631,221,764
  5. Step 5: Solve for x
    x = 796,631,221,764/577,524
  6. Step 6: Final answer
    x = 1,379,390.68

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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.