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Finding the Third Proportional to 200,966 and 442,414

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Solution

The third proportional to 200,966 and 442,414 is: 973,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966 : 442,414 = 442,414 : x
  2. Step 2: Convert to fraction form
    200,966/442,414 = 442,414/x
  3. Step 3: Cross multiply
    200,966x = 442,414 × 442,414
  4. Step 4: Simplify right side
    200,966x = 195,730,147,396
  5. Step 5: Solve for x
    x = 195,730,147,396/200,966
  6. Step 6: Final answer
    x = 973,946.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.