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Finding the Third Proportional to 244,698 and 329,319

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Solution

The third proportional to 244,698 and 329,319 is: 443,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,698 : 329,319 = 329,319 : x
  2. Step 2: Convert to fraction form
    244,698/329,319 = 329,319/x
  3. Step 3: Cross multiply
    244,698x = 329,319 × 329,319
  4. Step 4: Simplify right side
    244,698x = 108,451,003,761
  5. Step 5: Solve for x
    x = 108,451,003,761/244,698
  6. Step 6: Final answer
    x = 443,203.47

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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.