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Finding the Third Proportional to 303,324.75 and 475,787.25

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Solution

The third proportional to 303,324.75 and 475,787.25 is: 746,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,324.75 : 475,787.25 = 475,787.25 : x
  2. Step 2: Convert to fraction form
    303,324.75/475,787.25 = 475,787.25/x
  3. Step 3: Cross multiply
    303,324.75x = 475,787.25 × 475,787.25
  4. Step 4: Simplify right side
    303,324.75x = 226,373,507,262.56
  5. Step 5: Solve for x
    x = 226,373,507,262.56/303,324.75
  6. Step 6: Final answer
    x = 746,307.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.