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Finding the Third Proportional to 206,836 and 455,576

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Solution

The third proportional to 206,836 and 455,576 is: 1,003,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,836 : 455,576 = 455,576 : x
  2. Step 2: Convert to fraction form
    206,836/455,576 = 455,576/x
  3. Step 3: Cross multiply
    206,836x = 455,576 × 455,576
  4. Step 4: Simplify right side
    206,836x = 207,549,491,776
  5. Step 5: Solve for x
    x = 207,549,491,776/206,836
  6. Step 6: Final answer
    x = 1,003,449.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.