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Finding the Third Proportional to 221,736 and 474,972

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Solution

The third proportional to 221,736 and 474,972 is: 1,017,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,736 : 474,972 = 474,972 : x
  2. Step 2: Convert to fraction form
    221,736/474,972 = 474,972/x
  3. Step 3: Cross multiply
    221,736x = 474,972 × 474,972
  4. Step 4: Simplify right side
    221,736x = 225,598,400,784
  5. Step 5: Solve for x
    x = 225,598,400,784/221,736
  6. Step 6: Final answer
    x = 1,017,418.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.