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Finding the Third Proportional to 205,629 and 476,003.50

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Solution

The third proportional to 205,629 and 476,003.50 is: 1,101,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,629 : 476,003.50 = 476,003.50 : x
  2. Step 2: Convert to fraction form
    205,629/476,003.50 = 476,003.50/x
  3. Step 3: Cross multiply
    205,629x = 476,003.50 × 476,003.50
  4. Step 4: Simplify right side
    205,629x = 226,579,332,012.25
  5. Step 5: Solve for x
    x = 226,579,332,012.25/205,629
  6. Step 6: Final answer
    x = 1,101,884.13

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