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Finding the Third Proportional to 323,444 and 680,392

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Solution

The third proportional to 323,444 and 680,392 is: 1,431,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,444 : 680,392 = 680,392 : x
  2. Step 2: Convert to fraction form
    323,444/680,392 = 680,392/x
  3. Step 3: Cross multiply
    323,444x = 680,392 × 680,392
  4. Step 4: Simplify right side
    323,444x = 462,933,273,664
  5. Step 5: Solve for x
    x = 462,933,273,664/323,444
  6. Step 6: Final answer
    x = 1,431,262.52

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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.