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Finding the Third Proportional to 353,139.75 and 771,846.75

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Solution

The third proportional to 353,139.75 and 771,846.75 is: 1,687,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,139.75 : 771,846.75 = 771,846.75 : x
  2. Step 2: Convert to fraction form
    353,139.75/771,846.75 = 771,846.75/x
  3. Step 3: Cross multiply
    353,139.75x = 771,846.75 × 771,846.75
  4. Step 4: Simplify right side
    353,139.75x = 595,747,405,485.56
  5. Step 5: Solve for x
    x = 595,747,405,485.56/353,139.75
  6. Step 6: Final answer
    x = 1,687,001.83

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Why These Related Problems?

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