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Finding the Third Proportional to 477 and 628

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Solution

The third proportional to 477 and 628 is: 826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 628 = 628 : x
  2. Step 2: Convert to fraction form
    477/628 = 628/x
  3. Step 3: Cross multiply
    477x = 628 × 628
  4. Step 4: Simplify right side
    477x = 394,384
  5. Step 5: Solve for x
    x = 394,384/477
  6. Step 6: Final answer
    x = 826.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.