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Finding the Third Proportional to 323,400 and 680,313

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Solution

The third proportional to 323,400 and 680,313 is: 1,431,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,400 : 680,313 = 680,313 : x
  2. Step 2: Convert to fraction form
    323,400/680,313 = 680,313/x
  3. Step 3: Cross multiply
    323,400x = 680,313 × 680,313
  4. Step 4: Simplify right side
    323,400x = 462,825,777,969
  5. Step 5: Solve for x
    x = 462,825,777,969/323,400
  6. Step 6: Final answer
    x = 1,431,124.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.