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Finding the Third Proportional to 335,157.75 and 704,760.75

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Solution

The third proportional to 335,157.75 and 704,760.75 is: 1,481,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,157.75 : 704,760.75 = 704,760.75 : x
  2. Step 2: Convert to fraction form
    335,157.75/704,760.75 = 704,760.75/x
  3. Step 3: Cross multiply
    335,157.75x = 704,760.75 × 704,760.75
  4. Step 4: Simplify right side
    335,157.75x = 496,687,714,740.56
  5. Step 5: Solve for x
    x = 496,687,714,740.56/335,157.75
  6. Step 6: Final answer
    x = 1,481,952.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.