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Finding the Third Proportional to 187,428.94 and 404,838

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Solution

The third proportional to 187,428.94 and 404,838 is: 874,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,428.94 : 404,838 = 404,838 : x
  2. Step 2: Convert to fraction form
    187,428.94/404,838 = 404,838/x
  3. Step 3: Cross multiply
    187,428.94x = 404,838 × 404,838
  4. Step 4: Simplify right side
    187,428.94x = 163,893,806,244
  5. Step 5: Solve for x
    x = 163,893,806,244/187,428.94
  6. Step 6: Final answer
    x = 874,431.71

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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.