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Finding the Third Proportional to 206,564 and 451,032

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Solution

The third proportional to 206,564 and 451,032 is: 984,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564 : 451,032 = 451,032 : x
  2. Step 2: Convert to fraction form
    206,564/451,032 = 451,032/x
  3. Step 3: Cross multiply
    206,564x = 451,032 × 451,032
  4. Step 4: Simplify right side
    206,564x = 203,429,865,024
  5. Step 5: Solve for x
    x = 203,429,865,024/206,564
  6. Step 6: Final answer
    x = 984,827.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.