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Finding the Third Proportional to 215,311.92 and 463,527.56

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Solution

The third proportional to 215,311.92 and 463,527.56 is: 997,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,311.92 : 463,527.56 = 463,527.56 : x
  2. Step 2: Convert to fraction form
    215,311.92/463,527.56 = 463,527.56/x
  3. Step 3: Cross multiply
    215,311.92x = 463,527.56 × 463,527.56
  4. Step 4: Simplify right side
    215,311.92x = 214,857,801,197.19
  5. Step 5: Solve for x
    x = 214,857,801,197.19/215,311.92
  6. Step 6: Final answer
    x = 997,890.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.