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Finding the Third Proportional to 303,806 and 664,798

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Solution

The third proportional to 303,806 and 664,798 is: 1,454,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,806 : 664,798 = 664,798 : x
  2. Step 2: Convert to fraction form
    303,806/664,798 = 664,798/x
  3. Step 3: Cross multiply
    303,806x = 664,798 × 664,798
  4. Step 4: Simplify right side
    303,806x = 441,956,380,804
  5. Step 5: Solve for x
    x = 441,956,380,804/303,806
  6. Step 6: Final answer
    x = 1,454,732.23

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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.