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Finding the Third Proportional to 322,466 and 483,643

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Solution

The third proportional to 322,466 and 483,643 is: 725,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,466 : 483,643 = 483,643 : x
  2. Step 2: Convert to fraction form
    322,466/483,643 = 483,643/x
  3. Step 3: Cross multiply
    322,466x = 483,643 × 483,643
  4. Step 4: Simplify right side
    322,466x = 233,910,551,449
  5. Step 5: Solve for x
    x = 233,910,551,449/322,466
  6. Step 6: Final answer
    x = 725,380.51

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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.