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Finding the Third Proportional to 442,855.41 and 664,167.94

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Solution

The third proportional to 442,855.41 and 664,167.94 is: 996,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,855.41 : 664,167.94 = 664,167.94 : x
  2. Step 2: Convert to fraction form
    442,855.41/664,167.94 = 664,167.94/x
  3. Step 3: Cross multiply
    442,855.41x = 664,167.94 × 664,167.94
  4. Step 4: Simplify right side
    442,855.41x = 441,119,049,203.00
  5. Step 5: Solve for x
    x = 441,119,049,203.00/442,855.41
  6. Step 6: Final answer
    x = 996,079.18

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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.