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Finding the Third Proportional to 350,853.19 and 647,034.75

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Solution

The third proportional to 350,853.19 and 647,034.75 is: 1,193,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,853.19 : 647,034.75 = 647,034.75 : x
  2. Step 2: Convert to fraction form
    350,853.19/647,034.75 = 647,034.75/x
  3. Step 3: Cross multiply
    350,853.19x = 647,034.75 × 647,034.75
  4. Step 4: Simplify right side
    350,853.19x = 418,653,967,707.56
  5. Step 5: Solve for x
    x = 418,653,967,707.56/350,853.19
  6. Step 6: Final answer
    x = 1,193,245.44

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.