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Finding the Third Proportional to 441,322 and 661,839

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Solution

The third proportional to 441,322 and 661,839 is: 992,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,322 : 661,839 = 661,839 : x
  2. Step 2: Convert to fraction form
    441,322/661,839 = 661,839/x
  3. Step 3: Cross multiply
    441,322x = 661,839 × 661,839
  4. Step 4: Simplify right side
    441,322x = 438,030,861,921
  5. Step 5: Solve for x
    x = 438,030,861,921/441,322
  6. Step 6: Final answer
    x = 992,542.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.