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Finding the Third Proportional to 353,157.75 and 771,882.75

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Solution

The third proportional to 353,157.75 and 771,882.75 is: 1,687,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,157.75 : 771,882.75 = 771,882.75 : x
  2. Step 2: Convert to fraction form
    353,157.75/771,882.75 = 771,882.75/x
  3. Step 3: Cross multiply
    353,157.75x = 771,882.75 × 771,882.75
  4. Step 4: Simplify right side
    353,157.75x = 595,802,979,747.56
  5. Step 5: Solve for x
    x = 595,802,979,747.56/353,157.75
  6. Step 6: Final answer
    x = 1,687,073.21

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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.