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Finding the Third Proportional to 205,632 and 475,994

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Solution

The third proportional to 205,632 and 475,994 is: 1,101,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,632 : 475,994 = 475,994 : x
  2. Step 2: Convert to fraction form
    205,632/475,994 = 475,994/x
  3. Step 3: Cross multiply
    205,632x = 475,994 × 475,994
  4. Step 4: Simplify right side
    205,632x = 226,570,288,036
  5. Step 5: Solve for x
    x = 226,570,288,036/205,632
  6. Step 6: Final answer
    x = 1,101,824.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.