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Finding the Third Proportional to 217,414 and 474,680

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Solution

The third proportional to 217,414 and 474,680 is: 1,036,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414 : 474,680 = 474,680 : x
  2. Step 2: Convert to fraction form
    217,414/474,680 = 474,680/x
  3. Step 3: Cross multiply
    217,414x = 474,680 × 474,680
  4. Step 4: Simplify right side
    217,414x = 225,321,102,400
  5. Step 5: Solve for x
    x = 225,321,102,400/217,414
  6. Step 6: Final answer
    x = 1,036,368.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.