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Finding the Third Proportional to 325,836 and 455,199.75

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Solution

The third proportional to 325,836 and 455,199.75 is: 635,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,836 : 455,199.75 = 455,199.75 : x
  2. Step 2: Convert to fraction form
    325,836/455,199.75 = 455,199.75/x
  3. Step 3: Cross multiply
    325,836x = 455,199.75 × 455,199.75
  4. Step 4: Simplify right side
    325,836x = 207,206,812,400.06
  5. Step 5: Solve for x
    x = 207,206,812,400.06/325,836
  6. Step 6: Final answer
    x = 635,923.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.