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Finding the Third Proportional to 217,908 and 474,414.75

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Solution

The third proportional to 217,908 and 474,414.75 is: 1,032,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,908 : 474,414.75 = 474,414.75 : x
  2. Step 2: Convert to fraction form
    217,908/474,414.75 = 474,414.75/x
  3. Step 3: Cross multiply
    217,908x = 474,414.75 × 474,414.75
  4. Step 4: Simplify right side
    217,908x = 225,069,355,017.56
  5. Step 5: Solve for x
    x = 225,069,355,017.56/217,908
  6. Step 6: Final answer
    x = 1,032,864.12

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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.