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Finding the Third Proportional to 204,715 and 442,963

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Solution

The third proportional to 204,715 and 442,963 is: 958,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,715 : 442,963 = 442,963 : x
  2. Step 2: Convert to fraction form
    204,715/442,963 = 442,963/x
  3. Step 3: Cross multiply
    204,715x = 442,963 × 442,963
  4. Step 4: Simplify right side
    204,715x = 196,216,219,369
  5. Step 5: Solve for x
    x = 196,216,219,369/204,715
  6. Step 6: Final answer
    x = 958,484.82

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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.