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Finding the Third Proportional to 206,436 and 437,679

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Solution

The third proportional to 206,436 and 437,679 is: 927,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436 : 437,679 = 437,679 : x
  2. Step 2: Convert to fraction form
    206,436/437,679 = 437,679/x
  3. Step 3: Cross multiply
    206,436x = 437,679 × 437,679
  4. Step 4: Simplify right side
    206,436x = 191,562,907,041
  5. Step 5: Solve for x
    x = 191,562,907,041/206,436
  6. Step 6: Final answer
    x = 927,953.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.