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Finding the Third Proportional to 442,266.75 and 662,704.88

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Solution

The third proportional to 442,266.75 and 662,704.88 is: 993,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,266.75 : 662,704.88 = 662,704.88 : x
  2. Step 2: Convert to fraction form
    442,266.75/662,704.88 = 662,704.88/x
  3. Step 3: Cross multiply
    442,266.75x = 662,704.88 × 662,704.88
  4. Step 4: Simplify right side
    442,266.75x = 439,177,751,348.77
  5. Step 5: Solve for x
    x = 439,177,751,348.77/442,266.75
  6. Step 6: Final answer
    x = 993,015.53

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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.