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Finding the Third Proportional to 331,147.50 and 715,227

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Solution

The third proportional to 331,147.50 and 715,227 is: 1,544,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,147.50 : 715,227 = 715,227 : x
  2. Step 2: Convert to fraction form
    331,147.50/715,227 = 715,227/x
  3. Step 3: Cross multiply
    331,147.50x = 715,227 × 715,227
  4. Step 4: Simplify right side
    331,147.50x = 511,549,661,529
  5. Step 5: Solve for x
    x = 511,549,661,529/331,147.50
  6. Step 6: Final answer
    x = 1,544,778.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.