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Finding the Third Proportional to 221,908 and 485,247

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Solution

The third proportional to 221,908 and 485,247 is: 1,061,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,908 : 485,247 = 485,247 : x
  2. Step 2: Convert to fraction form
    221,908/485,247 = 485,247/x
  3. Step 3: Cross multiply
    221,908x = 485,247 × 485,247
  4. Step 4: Simplify right side
    221,908x = 235,464,651,009
  5. Step 5: Solve for x
    x = 235,464,651,009/221,908
  6. Step 6: Final answer
    x = 1,061,091.31

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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.