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Finding the Third Proportional to 299,311.13 and 464,705.38

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Solution

The third proportional to 299,311.13 and 464,705.38 is: 721,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.13 : 464,705.38 = 464,705.38 : x
  2. Step 2: Convert to fraction form
    299,311.13/464,705.38 = 464,705.38/x
  3. Step 3: Cross multiply
    299,311.13x = 464,705.38 × 464,705.38
  4. Step 4: Simplify right side
    299,311.13x = 215,951,085,553.89
  5. Step 5: Solve for x
    x = 215,951,085,553.89/299,311.13
  6. Step 6: Final answer
    x = 721,493.68

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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.