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Finding the Third Proportional to 217,322 and 332,441

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Solution

The third proportional to 217,322 and 332,441 is: 508,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,322 : 332,441 = 332,441 : x
  2. Step 2: Convert to fraction form
    217,322/332,441 = 332,441/x
  3. Step 3: Cross multiply
    217,322x = 332,441 × 332,441
  4. Step 4: Simplify right side
    217,322x = 110,517,018,481
  5. Step 5: Solve for x
    x = 110,517,018,481/217,322
  6. Step 6: Final answer
    x = 508,540.41

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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.