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Finding the Third Proportional to 205,605 and 475,945.88

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Solution

The third proportional to 205,605 and 475,945.88 is: 1,101,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,605 : 475,945.88 = 475,945.88 : x
  2. Step 2: Convert to fraction form
    205,605/475,945.88 = 475,945.88/x
  3. Step 3: Cross multiply
    205,605x = 475,945.88 × 475,945.88
  4. Step 4: Simplify right side
    205,605x = 226,524,475,929.52
  5. Step 5: Solve for x
    x = 226,524,475,929.52/205,605
  6. Step 6: Final answer
    x = 1,101,745.95

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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.