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Finding the Third Proportional to 204,717 and 442,967

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Solution

The third proportional to 204,717 and 442,967 is: 958,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,717 : 442,967 = 442,967 : x
  2. Step 2: Convert to fraction form
    204,717/442,967 = 442,967/x
  3. Step 3: Cross multiply
    204,717x = 442,967 × 442,967
  4. Step 4: Simplify right side
    204,717x = 196,219,763,089
  5. Step 5: Solve for x
    x = 196,219,763,089/204,717
  6. Step 6: Final answer
    x = 958,492.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.