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Finding the Third Proportional to 442,265.25 and 662,704.13

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Solution

The third proportional to 442,265.25 and 662,704.13 is: 993,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,265.25 : 662,704.13 = 662,704.13 : x
  2. Step 2: Convert to fraction form
    442,265.25/662,704.13 = 662,704.13/x
  3. Step 3: Cross multiply
    442,265.25x = 662,704.13 × 662,704.13
  4. Step 4: Simplify right side
    442,265.25x = 439,176,757,292.02
  5. Step 5: Solve for x
    x = 439,176,757,292.02/442,265.25
  6. Step 6: Final answer
    x = 993,016.65

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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.