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Finding the Third Proportional to 325,899 and 674,352

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Solution

The third proportional to 325,899 and 674,352 is: 1,395,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,899 : 674,352 = 674,352 : x
  2. Step 2: Convert to fraction form
    325,899/674,352 = 674,352/x
  3. Step 3: Cross multiply
    325,899x = 674,352 × 674,352
  4. Step 4: Simplify right side
    325,899x = 454,750,619,904
  5. Step 5: Solve for x
    x = 454,750,619,904/325,899
  6. Step 6: Final answer
    x = 1,395,372.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.