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Finding the Third Proportional to 303,856 and 664,896

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Solution

The third proportional to 303,856 and 664,896 is: 1,454,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,856 : 664,896 = 664,896 : x
  2. Step 2: Convert to fraction form
    303,856/664,896 = 664,896/x
  3. Step 3: Cross multiply
    303,856x = 664,896 × 664,896
  4. Step 4: Simplify right side
    303,856x = 442,086,690,816
  5. Step 5: Solve for x
    x = 442,086,690,816/303,856
  6. Step 6: Final answer
    x = 1,454,921.71

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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.