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Finding the Third Proportional to 596,274 and 892,050

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Solution

The third proportional to 596,274 and 892,050 is: 1,334,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,274 : 892,050 = 892,050 : x
  2. Step 2: Convert to fraction form
    596,274/892,050 = 892,050/x
  3. Step 3: Cross multiply
    596,274x = 892,050 × 892,050
  4. Step 4: Simplify right side
    596,274x = 795,753,202,500
  5. Step 5: Solve for x
    x = 795,753,202,500/596,274
  6. Step 6: Final answer
    x = 1,334,542.85

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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.