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Finding the Third Proportional to 354,449.44 and 777,789.19

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Solution

The third proportional to 354,449.44 and 777,789.19 is: 1,706,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,449.44 : 777,789.19 = 777,789.19 : x
  2. Step 2: Convert to fraction form
    354,449.44/777,789.19 = 777,789.19/x
  3. Step 3: Cross multiply
    354,449.44x = 777,789.19 × 777,789.19
  4. Step 4: Simplify right side
    354,449.44x = 604,956,020,191.91
  5. Step 5: Solve for x
    x = 604,956,020,191.91/354,449.44
  6. Step 6: Final answer
    x = 1,706,748.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.