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Finding the Third Proportional to 325,231.88 and 500,529.38

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Solution

The third proportional to 325,231.88 and 500,529.38 is: 770,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,231.88 : 500,529.38 = 500,529.38 : x
  2. Step 2: Convert to fraction form
    325,231.88/500,529.38 = 500,529.38/x
  3. Step 3: Cross multiply
    325,231.88x = 500,529.38 × 500,529.38
  4. Step 4: Simplify right side
    325,231.88x = 250,529,655,237.89
  5. Step 5: Solve for x
    x = 250,529,655,237.89/325,231.88
  6. Step 6: Final answer
    x = 770,310.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.