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Finding the Third Proportional to 205,637 and 476,016

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Solution

The third proportional to 205,637 and 476,016 is: 1,101,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,637 : 476,016 = 476,016 : x
  2. Step 2: Convert to fraction form
    205,637/476,016 = 476,016/x
  3. Step 3: Cross multiply
    205,637x = 476,016 × 476,016
  4. Step 4: Simplify right side
    205,637x = 226,591,232,256
  5. Step 5: Solve for x
    x = 226,591,232,256/205,637
  6. Step 6: Final answer
    x = 1,101,899.13

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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.