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Finding the Third Proportional to 207,904 and 333,589

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Solution

The third proportional to 207,904 and 333,589 is: 535,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904 : 333,589 = 333,589 : x
  2. Step 2: Convert to fraction form
    207,904/333,589 = 333,589/x
  3. Step 3: Cross multiply
    207,904x = 333,589 × 333,589
  4. Step 4: Simplify right side
    207,904x = 111,281,620,921
  5. Step 5: Solve for x
    x = 111,281,620,921/207,904
  6. Step 6: Final answer
    x = 535,254.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.