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Finding the Third Proportional to 217,401 and 475,974

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Solution

The third proportional to 217,401 and 475,974 is: 1,042,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,401 : 475,974 = 475,974 : x
  2. Step 2: Convert to fraction form
    217,401/475,974 = 475,974/x
  3. Step 3: Cross multiply
    217,401x = 475,974 × 475,974
  4. Step 4: Simplify right side
    217,401x = 226,551,248,676
  5. Step 5: Solve for x
    x = 226,551,248,676/217,401
  6. Step 6: Final answer
    x = 1,042,089.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.