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Finding the Third Proportional to 326,498 and 366,980

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Solution

The third proportional to 326,498 and 366,980 is: 412,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,498 : 366,980 = 366,980 : x
  2. Step 2: Convert to fraction form
    326,498/366,980 = 366,980/x
  3. Step 3: Cross multiply
    326,498x = 366,980 × 366,980
  4. Step 4: Simplify right side
    326,498x = 134,674,320,400
  5. Step 5: Solve for x
    x = 134,674,320,400/326,498
  6. Step 6: Final answer
    x = 412,481.30

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.