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Finding the Third Proportional to 396,324 and 594,567

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Solution

The third proportional to 396,324 and 594,567 is: 891,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,324 : 594,567 = 594,567 : x
  2. Step 2: Convert to fraction form
    396,324/594,567 = 594,567/x
  3. Step 3: Cross multiply
    396,324x = 594,567 × 594,567
  4. Step 4: Simplify right side
    396,324x = 353,509,917,489
  5. Step 5: Solve for x
    x = 353,509,917,489/396,324
  6. Step 6: Final answer
    x = 891,972.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.