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Finding the Third Proportional to 206,817.75 and 432,574.88

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Solution

The third proportional to 206,817.75 and 432,574.88 is: 904,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,817.75 : 432,574.88 = 432,574.88 : x
  2. Step 2: Convert to fraction form
    206,817.75/432,574.88 = 432,574.88/x
  3. Step 3: Cross multiply
    206,817.75x = 432,574.88 × 432,574.88
  4. Step 4: Simplify right side
    206,817.75x = 187,121,022,481.27
  5. Step 5: Solve for x
    x = 187,121,022,481.27/206,817.75
  6. Step 6: Final answer
    x = 904,762.88

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.