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Finding the Third Proportional to 204,713 and 442,959

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Solution

The third proportional to 204,713 and 442,959 is: 958,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,713 : 442,959 = 442,959 : x
  2. Step 2: Convert to fraction form
    204,713/442,959 = 442,959/x
  3. Step 3: Cross multiply
    204,713x = 442,959 × 442,959
  4. Step 4: Simplify right side
    204,713x = 196,212,675,681
  5. Step 5: Solve for x
    x = 196,212,675,681/204,713
  6. Step 6: Final answer
    x = 958,476.87

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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.