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Finding the Third Proportional to 336,168 and 723,308

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Solution

The third proportional to 336,168 and 723,308 is: 1,556,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,168 : 723,308 = 723,308 : x
  2. Step 2: Convert to fraction form
    336,168/723,308 = 723,308/x
  3. Step 3: Cross multiply
    336,168x = 723,308 × 723,308
  4. Step 4: Simplify right side
    336,168x = 523,174,462,864
  5. Step 5: Solve for x
    x = 523,174,462,864/336,168
  6. Step 6: Final answer
    x = 1,556,288.71

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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.