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Finding the Third Proportional to 442,328 and 667,158

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Solution

The third proportional to 442,328 and 667,158 is: 1,006,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,328 : 667,158 = 667,158 : x
  2. Step 2: Convert to fraction form
    442,328/667,158 = 667,158/x
  3. Step 3: Cross multiply
    442,328x = 667,158 × 667,158
  4. Step 4: Simplify right side
    442,328x = 445,099,796,964
  5. Step 5: Solve for x
    x = 445,099,796,964/442,328
  6. Step 6: Final answer
    x = 1,006,266.38

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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.