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Finding the Third Proportional to 303,698 and 664,596

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Solution

The third proportional to 303,698 and 664,596 is: 1,454,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,698 : 664,596 = 664,596 : x
  2. Step 2: Convert to fraction form
    303,698/664,596 = 664,596/x
  3. Step 3: Cross multiply
    303,698x = 664,596 × 664,596
  4. Step 4: Simplify right side
    303,698x = 441,687,843,216
  5. Step 5: Solve for x
    x = 441,687,843,216/303,698
  6. Step 6: Final answer
    x = 1,454,365.33

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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.