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Finding the Third Proportional to 278,272.13 and 419,991.75

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Solution

The third proportional to 278,272.13 and 419,991.75 is: 633,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,272.13 : 419,991.75 = 419,991.75 : x
  2. Step 2: Convert to fraction form
    278,272.13/419,991.75 = 419,991.75/x
  3. Step 3: Cross multiply
    278,272.13x = 419,991.75 × 419,991.75
  4. Step 4: Simplify right side
    278,272.13x = 176,393,070,068.06
  5. Step 5: Solve for x
    x = 176,393,070,068.06/278,272.13
  6. Step 6: Final answer
    x = 633,886.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.