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Finding the Third Proportional to 335,410.88 and 501,786.56

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Solution

The third proportional to 335,410.88 and 501,786.56 is: 750,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,410.88 : 501,786.56 = 501,786.56 : x
  2. Step 2: Convert to fraction form
    335,410.88/501,786.56 = 501,786.56/x
  3. Step 3: Cross multiply
    335,410.88x = 501,786.56 × 501,786.56
  4. Step 4: Simplify right side
    335,410.88x = 251,789,754,305.57
  5. Step 5: Solve for x
    x = 251,789,754,305.57/335,410.88
  6. Step 6: Final answer
    x = 750,690.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.