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Finding the Third Proportional to 217,325 and 332,447

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Solution

The third proportional to 217,325 and 332,447 is: 508,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,325 : 332,447 = 332,447 : x
  2. Step 2: Convert to fraction form
    217,325/332,447 = 332,447/x
  3. Step 3: Cross multiply
    217,325x = 332,447 × 332,447
  4. Step 4: Simplify right side
    217,325x = 110,521,007,809
  5. Step 5: Solve for x
    x = 110,521,007,809/217,325
  6. Step 6: Final answer
    x = 508,551.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.