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Finding the Third Proportional to 442,287 and 667,095

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Solution

The third proportional to 442,287 and 667,095 is: 1,006,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,287 : 667,095 = 667,095 : x
  2. Step 2: Convert to fraction form
    442,287/667,095 = 667,095/x
  3. Step 3: Cross multiply
    442,287x = 667,095 × 667,095
  4. Step 4: Simplify right side
    442,287x = 445,015,739,025
  5. Step 5: Solve for x
    x = 445,015,739,025/442,287
  6. Step 6: Final answer
    x = 1,006,169.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.