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Finding the Third Proportional to 627,375 and 946,949

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Solution

The third proportional to 627,375 and 946,949 is: 1,429,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,375 : 946,949 = 946,949 : x
  2. Step 2: Convert to fraction form
    627,375/946,949 = 946,949/x
  3. Step 3: Cross multiply
    627,375x = 946,949 × 946,949
  4. Step 4: Simplify right side
    627,375x = 896,712,408,601
  5. Step 5: Solve for x
    x = 896,712,408,601/627,375
  6. Step 6: Final answer
    x = 1,429,308.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.