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Finding the Third Proportional to 325,338 and 486,094

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Solution

The third proportional to 325,338 and 486,094 is: 726,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,338 : 486,094 = 486,094 : x
  2. Step 2: Convert to fraction form
    325,338/486,094 = 486,094/x
  3. Step 3: Cross multiply
    325,338x = 486,094 × 486,094
  4. Step 4: Simplify right side
    325,338x = 236,287,376,836
  5. Step 5: Solve for x
    x = 236,287,376,836/325,338
  6. Step 6: Final answer
    x = 726,282.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.