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Finding the Third Proportional to 427,461 and 667,071

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Solution

The third proportional to 427,461 and 667,071 is: 1,040,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,461 : 667,071 = 667,071 : x
  2. Step 2: Convert to fraction form
    427,461/667,071 = 667,071/x
  3. Step 3: Cross multiply
    427,461x = 667,071 × 667,071
  4. Step 4: Simplify right side
    427,461x = 444,983,719,041
  5. Step 5: Solve for x
    x = 444,983,719,041/427,461
  6. Step 6: Final answer
    x = 1,040,992.56

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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.