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Finding the Third Proportional to 204,579 and 444,566.81

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Solution

The third proportional to 204,579 and 444,566.81 is: 966,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,579 : 444,566.81 = 444,566.81 : x
  2. Step 2: Convert to fraction form
    204,579/444,566.81 = 444,566.81/x
  3. Step 3: Cross multiply
    204,579x = 444,566.81 × 444,566.81
  4. Step 4: Simplify right side
    204,579x = 197,639,650,776.41
  5. Step 5: Solve for x
    x = 197,639,650,776.41/204,579
  6. Step 6: Final answer
    x = 966,079.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.