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Finding the Third Proportional to 217,996 and 470,392

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Solution

The third proportional to 217,996 and 470,392 is: 1,015,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,996 : 470,392 = 470,392 : x
  2. Step 2: Convert to fraction form
    217,996/470,392 = 470,392/x
  3. Step 3: Cross multiply
    217,996x = 470,392 × 470,392
  4. Step 4: Simplify right side
    217,996x = 221,268,633,664
  5. Step 5: Solve for x
    x = 221,268,633,664/217,996
  6. Step 6: Final answer
    x = 1,015,012.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.