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Finding the Third Proportional to 491,194.50 and 1,057,087.50

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Solution

The third proportional to 491,194.50 and 1,057,087.50 is: 2,274,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,194.50 : 1,057,087.50 = 1,057,087.50 : x
  2. Step 2: Convert to fraction form
    491,194.50/1,057,087.50 = 1,057,087.50/x
  3. Step 3: Cross multiply
    491,194.50x = 1,057,087.50 × 1,057,087.50
  4. Step 4: Simplify right side
    491,194.50x = 1,117,433,982,656.25
  5. Step 5: Solve for x
    x = 1,117,433,982,656.25/491,194.50
  6. Step 6: Final answer
    x = 2,274,931.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.