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Finding the Third Proportional to 234,211.92 and 486,823.92

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Solution

The third proportional to 234,211.92 and 486,823.92 is: 1,011,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,211.92 : 486,823.92 = 486,823.92 : x
  2. Step 2: Convert to fraction form
    234,211.92/486,823.92 = 486,823.92/x
  3. Step 3: Cross multiply
    234,211.92x = 486,823.92 × 486,823.92
  4. Step 4: Simplify right side
    234,211.92x = 236,997,530,909.76
  5. Step 5: Solve for x
    x = 236,997,530,909.76/234,211.92
  6. Step 6: Final answer
    x = 1,011,893.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.