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Finding the Third Proportional to 319,227.75 and 668,025

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Solution

The third proportional to 319,227.75 and 668,025 is: 1,397,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,227.75 : 668,025 = 668,025 : x
  2. Step 2: Convert to fraction form
    319,227.75/668,025 = 668,025/x
  3. Step 3: Cross multiply
    319,227.75x = 668,025 × 668,025
  4. Step 4: Simplify right side
    319,227.75x = 446,257,400,625
  5. Step 5: Solve for x
    x = 446,257,400,625/319,227.75
  6. Step 6: Final answer
    x = 1,397,927.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.