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Finding the Third Proportional to 427,477 and 667,092

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Solution

The third proportional to 427,477 and 667,092 is: 1,041,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,477 : 667,092 = 667,092 : x
  2. Step 2: Convert to fraction form
    427,477/667,092 = 667,092/x
  3. Step 3: Cross multiply
    427,477x = 667,092 × 667,092
  4. Step 4: Simplify right side
    427,477x = 445,011,736,464
  5. Step 5: Solve for x
    x = 445,011,736,464/427,477
  6. Step 6: Final answer
    x = 1,041,019.13

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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.