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Finding the Third Proportional to 396,258 and 601,956

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Solution

The third proportional to 396,258 and 601,956 is: 914,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,258 : 601,956 = 601,956 : x
  2. Step 2: Convert to fraction form
    396,258/601,956 = 601,956/x
  3. Step 3: Cross multiply
    396,258x = 601,956 × 601,956
  4. Step 4: Simplify right side
    396,258x = 362,351,025,936
  5. Step 5: Solve for x
    x = 362,351,025,936/396,258
  6. Step 6: Final answer
    x = 914,432.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.