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Finding the Third Proportional to 411,352 and 627,962

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Solution

The third proportional to 411,352 and 627,962 is: 958,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,352 : 627,962 = 627,962 : x
  2. Step 2: Convert to fraction form
    411,352/627,962 = 627,962/x
  3. Step 3: Cross multiply
    411,352x = 627,962 × 627,962
  4. Step 4: Simplify right side
    411,352x = 394,336,273,444
  5. Step 5: Solve for x
    x = 394,336,273,444/411,352
  6. Step 6: Final answer
    x = 958,634.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.