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Finding the Third Proportional to 200,976 and 439,620

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Solution

The third proportional to 200,976 and 439,620 is: 961,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976 : 439,620 = 439,620 : x
  2. Step 2: Convert to fraction form
    200,976/439,620 = 439,620/x
  3. Step 3: Cross multiply
    200,976x = 439,620 × 439,620
  4. Step 4: Simplify right side
    200,976x = 193,265,744,400
  5. Step 5: Solve for x
    x = 193,265,744,400/200,976
  6. Step 6: Final answer
    x = 961,635.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.