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Finding the Third Proportional to 205,616 and 322,624

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Solution

The third proportional to 205,616 and 322,624 is: 506,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,616 : 322,624 = 322,624 : x
  2. Step 2: Convert to fraction form
    205,616/322,624 = 322,624/x
  3. Step 3: Cross multiply
    205,616x = 322,624 × 322,624
  4. Step 4: Simplify right side
    205,616x = 104,086,245,376
  5. Step 5: Solve for x
    x = 104,086,245,376/205,616
  6. Step 6: Final answer
    x = 506,216.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.