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Finding the Third Proportional to 339,529.22 and 509,335.59

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Solution

The third proportional to 339,529.22 and 509,335.59 is: 764,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,529.22 : 509,335.59 = 509,335.59 : x
  2. Step 2: Convert to fraction form
    339,529.22/509,335.59 = 509,335.59/x
  3. Step 3: Cross multiply
    339,529.22x = 509,335.59 × 509,335.59
  4. Step 4: Simplify right side
    339,529.22x = 259,422,747,060.67
  5. Step 5: Solve for x
    x = 259,422,747,060.67/339,529.22
  6. Step 6: Final answer
    x = 764,066.04

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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.