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Finding the Third Proportional to 299,369.67 and 464,428.69

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Solution

The third proportional to 299,369.67 and 464,428.69 is: 720,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,369.67 : 464,428.69 = 464,428.69 : x
  2. Step 2: Convert to fraction form
    299,369.67/464,428.69 = 464,428.69/x
  3. Step 3: Cross multiply
    299,369.67x = 464,428.69 × 464,428.69
  4. Step 4: Simplify right side
    299,369.67x = 215,694,005,772.97
  5. Step 5: Solve for x
    x = 215,694,005,772.97/299,369.67
  6. Step 6: Final answer
    x = 720,493.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.