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Finding the Third Proportional to 335,923 and 513,645

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Solution

The third proportional to 335,923 and 513,645 is: 785,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,923 : 513,645 = 513,645 : x
  2. Step 2: Convert to fraction form
    335,923/513,645 = 513,645/x
  3. Step 3: Cross multiply
    335,923x = 513,645 × 513,645
  4. Step 4: Simplify right side
    335,923x = 263,831,186,025
  5. Step 5: Solve for x
    x = 263,831,186,025/335,923
  6. Step 6: Final answer
    x = 785,391.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.