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Finding the Third Proportional to 303,799.69 and 664,785.38

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Solution

The third proportional to 303,799.69 and 664,785.38 is: 1,454,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,799.69 : 664,785.38 = 664,785.38 : x
  2. Step 2: Convert to fraction form
    303,799.69/664,785.38 = 664,785.38/x
  3. Step 3: Cross multiply
    303,799.69x = 664,785.38 × 664,785.38
  4. Step 4: Simplify right side
    303,799.69x = 441,939,594,813.89
  5. Step 5: Solve for x
    x = 441,939,594,813.89/303,799.69
  6. Step 6: Final answer
    x = 1,454,707.21

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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.