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Finding the Third Proportional to 205,634 and 475,999

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Solution

The third proportional to 205,634 and 475,999 is: 1,101,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,634 : 475,999 = 475,999 : x
  2. Step 2: Convert to fraction form
    205,634/475,999 = 475,999/x
  3. Step 3: Cross multiply
    205,634x = 475,999 × 475,999
  4. Step 4: Simplify right side
    205,634x = 226,575,048,001
  5. Step 5: Solve for x
    x = 226,575,048,001/205,634
  6. Step 6: Final answer
    x = 1,101,836.51

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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.