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Finding the Third Proportional to 303,783 and 664,753

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Solution

The third proportional to 303,783 and 664,753 is: 1,454,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,783 : 664,753 = 664,753 : x
  2. Step 2: Convert to fraction form
    303,783/664,753 = 664,753/x
  3. Step 3: Cross multiply
    303,783x = 664,753 × 664,753
  4. Step 4: Simplify right side
    303,783x = 441,896,551,009
  5. Step 5: Solve for x
    x = 441,896,551,009/303,783
  6. Step 6: Final answer
    x = 1,454,645.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.