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Finding the Third Proportional to 336,168 and 723,311

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Solution

The third proportional to 336,168 and 723,311 is: 1,556,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,168 : 723,311 = 723,311 : x
  2. Step 2: Convert to fraction form
    336,168/723,311 = 723,311/x
  3. Step 3: Cross multiply
    336,168x = 723,311 × 723,311
  4. Step 4: Simplify right side
    336,168x = 523,178,802,721
  5. Step 5: Solve for x
    x = 523,178,802,721/336,168
  6. Step 6: Final answer
    x = 1,556,301.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.