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Finding the Third Proportional to 204,782 and 305,595

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Solution

The third proportional to 204,782 and 305,595 is: 456,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,782 : 305,595 = 305,595 : x
  2. Step 2: Convert to fraction form
    204,782/305,595 = 305,595/x
  3. Step 3: Cross multiply
    204,782x = 305,595 × 305,595
  4. Step 4: Simplify right side
    204,782x = 93,388,304,025
  5. Step 5: Solve for x
    x = 93,388,304,025/204,782
  6. Step 6: Final answer
    x = 456,037.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.