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Finding the Third Proportional to 442,265.06 and 662,704.03

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Solution

The third proportional to 442,265.06 and 662,704.03 is: 993,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,265.06 : 662,704.03 = 662,704.03 : x
  2. Step 2: Convert to fraction form
    442,265.06/662,704.03 = 662,704.03/x
  3. Step 3: Cross multiply
    442,265.06x = 662,704.03 × 662,704.03
  4. Step 4: Simplify right side
    442,265.06x = 439,176,633,035.00
  5. Step 5: Solve for x
    x = 439,176,633,035.00/442,265.06
  6. Step 6: Final answer
    x = 993,016.79

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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.