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Finding the Third Proportional to 303,846 and 664,902

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Solution

The third proportional to 303,846 and 664,902 is: 1,454,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,846 : 664,902 = 664,902 : x
  2. Step 2: Convert to fraction form
    303,846/664,902 = 664,902/x
  3. Step 3: Cross multiply
    303,846x = 664,902 × 664,902
  4. Step 4: Simplify right side
    303,846x = 442,094,669,604
  5. Step 5: Solve for x
    x = 442,094,669,604/303,846
  6. Step 6: Final answer
    x = 1,454,995.85

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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.