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Finding the Third Proportional to 396,262 and 601,962

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Solution

The third proportional to 396,262 and 601,962 is: 914,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,262 : 601,962 = 601,962 : x
  2. Step 2: Convert to fraction form
    396,262/601,962 = 601,962/x
  3. Step 3: Cross multiply
    396,262x = 601,962 × 601,962
  4. Step 4: Simplify right side
    396,262x = 362,358,249,444
  5. Step 5: Solve for x
    x = 362,358,249,444/396,262
  6. Step 6: Final answer
    x = 914,441.08

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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.