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Finding the Third Proportional to 427,462 and 667,072

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Solution

The third proportional to 427,462 and 667,072 is: 1,040,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,462 : 667,072 = 667,072 : x
  2. Step 2: Convert to fraction form
    427,462/667,072 = 667,072/x
  3. Step 3: Cross multiply
    427,462x = 667,072 × 667,072
  4. Step 4: Simplify right side
    427,462x = 444,985,053,184
  5. Step 5: Solve for x
    x = 444,985,053,184/427,462
  6. Step 6: Final answer
    x = 1,040,993.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.