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Finding the Third Proportional to 441,290.44 and 661,342.78

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Solution

The third proportional to 441,290.44 and 661,342.78 is: 991,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,290.44 : 661,342.78 = 661,342.78 : x
  2. Step 2: Convert to fraction form
    441,290.44/661,342.78 = 661,342.78/x
  3. Step 3: Cross multiply
    441,290.44x = 661,342.78 × 661,342.78
  4. Step 4: Simplify right side
    441,290.44x = 437,374,274,311.49
  5. Step 5: Solve for x
    x = 437,374,274,311.49/441,290.44
  6. Step 6: Final answer
    x = 991,125.66

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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.