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Finding the Third Proportional to 206,526 and 451,932

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Solution

The third proportional to 206,526 and 451,932 is: 988,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,526 : 451,932 = 451,932 : x
  2. Step 2: Convert to fraction form
    206,526/451,932 = 451,932/x
  3. Step 3: Cross multiply
    206,526x = 451,932 × 451,932
  4. Step 4: Simplify right side
    206,526x = 204,242,532,624
  5. Step 5: Solve for x
    x = 204,242,532,624/206,526
  6. Step 6: Final answer
    x = 988,943.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.