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Finding the Third Proportional to 396,112 and 592,650

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Solution

The third proportional to 396,112 and 592,650 is: 886,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,112 : 592,650 = 592,650 : x
  2. Step 2: Convert to fraction form
    396,112/592,650 = 592,650/x
  3. Step 3: Cross multiply
    396,112x = 592,650 × 592,650
  4. Step 4: Simplify right side
    396,112x = 351,234,022,500
  5. Step 5: Solve for x
    x = 351,234,022,500/396,112
  6. Step 6: Final answer
    x = 886,703.82

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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.