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Finding the Third Proportional to 322,467 and 483,645

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Solution

The third proportional to 322,467 and 483,645 is: 725,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,467 : 483,645 = 483,645 : x
  2. Step 2: Convert to fraction form
    322,467/483,645 = 483,645/x
  3. Step 3: Cross multiply
    322,467x = 483,645 × 483,645
  4. Step 4: Simplify right side
    322,467x = 233,912,486,025
  5. Step 5: Solve for x
    x = 233,912,486,025/322,467
  6. Step 6: Final answer
    x = 725,384.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.