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Finding the Third Proportional to 215,432 and 441,592

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Solution

The third proportional to 215,432 and 441,592 is: 905,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,432 : 441,592 = 441,592 : x
  2. Step 2: Convert to fraction form
    215,432/441,592 = 441,592/x
  3. Step 3: Cross multiply
    215,432x = 441,592 × 441,592
  4. Step 4: Simplify right side
    215,432x = 195,003,494,464
  5. Step 5: Solve for x
    x = 195,003,494,464/215,432
  6. Step 6: Final answer
    x = 905,174.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.