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Finding the Third Proportional to 442,322 and 667,148

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Solution

The third proportional to 442,322 and 667,148 is: 1,006,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,322 : 667,148 = 667,148 : x
  2. Step 2: Convert to fraction form
    442,322/667,148 = 667,148/x
  3. Step 3: Cross multiply
    442,322x = 667,148 × 667,148
  4. Step 4: Simplify right side
    442,322x = 445,086,453,904
  5. Step 5: Solve for x
    x = 445,086,453,904/442,322
  6. Step 6: Final answer
    x = 1,006,249.87

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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.