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Finding the Third Proportional to 336,819 and 720,318

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Solution

The third proportional to 336,819 and 720,318 is: 1,540,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,819 : 720,318 = 720,318 : x
  2. Step 2: Convert to fraction form
    336,819/720,318 = 720,318/x
  3. Step 3: Cross multiply
    336,819x = 720,318 × 720,318
  4. Step 4: Simplify right side
    336,819x = 518,858,021,124
  5. Step 5: Solve for x
    x = 518,858,021,124/336,819
  6. Step 6: Final answer
    x = 1,540,465.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.