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Finding the Third Proportional to 206,539.88 and 437,896.13

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Solution

The third proportional to 206,539.88 and 437,896.13 is: 928,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,539.88 : 437,896.13 = 437,896.13 : x
  2. Step 2: Convert to fraction form
    206,539.88/437,896.13 = 437,896.13/x
  3. Step 3: Cross multiply
    206,539.88x = 437,896.13 × 437,896.13
  4. Step 4: Simplify right side
    206,539.88x = 191,753,016,290.02
  5. Step 5: Solve for x
    x = 191,753,016,290.02/206,539.88
  6. Step 6: Final answer
    x = 928,406.76

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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.