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Finding the Third Proportional to 205,062.94 and 442,839.75

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Solution

The third proportional to 205,062.94 and 442,839.75 is: 956,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.94 : 442,839.75 = 442,839.75 : x
  2. Step 2: Convert to fraction form
    205,062.94/442,839.75 = 442,839.75/x
  3. Step 3: Cross multiply
    205,062.94x = 442,839.75 × 442,839.75
  4. Step 4: Simplify right side
    205,062.94x = 196,107,044,180.06
  5. Step 5: Solve for x
    x = 196,107,044,180.06/205,062.94
  6. Step 6: Final answer
    x = 956,326.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.