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Finding the Third Proportional to 244,704 and 329,328

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Solution

The third proportional to 244,704 and 329,328 is: 443,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,704 : 329,328 = 329,328 : x
  2. Step 2: Convert to fraction form
    244,704/329,328 = 329,328/x
  3. Step 3: Cross multiply
    244,704x = 329,328 × 329,328
  4. Step 4: Simplify right side
    244,704x = 108,456,931,584
  5. Step 5: Solve for x
    x = 108,456,931,584/244,704
  6. Step 6: Final answer
    x = 443,216.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.