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Finding the Third Proportional to 308,799.84 and 656,965.69

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Solution

The third proportional to 308,799.84 and 656,965.69 is: 1,397,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,799.84 : 656,965.69 = 656,965.69 : x
  2. Step 2: Convert to fraction form
    308,799.84/656,965.69 = 656,965.69/x
  3. Step 3: Cross multiply
    308,799.84x = 656,965.69 × 656,965.69
  4. Step 4: Simplify right side
    308,799.84x = 431,603,914,552.35
  5. Step 5: Solve for x
    x = 431,603,914,552.35/308,799.84
  6. Step 6: Final answer
    x = 1,397,681.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.