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Finding the Third Proportional to 204,727 and 442,986

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Solution

The third proportional to 204,727 and 442,986 is: 958,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,727 : 442,986 = 442,986 : x
  2. Step 2: Convert to fraction form
    204,727/442,986 = 442,986/x
  3. Step 3: Cross multiply
    204,727x = 442,986 × 442,986
  4. Step 4: Simplify right side
    204,727x = 196,236,596,196
  5. Step 5: Solve for x
    x = 196,236,596,196/204,727
  6. Step 6: Final answer
    x = 958,528.17

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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.