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Finding the Third Proportional to 325,826 and 455,186

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Solution

The third proportional to 325,826 and 455,186 is: 635,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,826 : 455,186 = 455,186 : x
  2. Step 2: Convert to fraction form
    325,826/455,186 = 455,186/x
  3. Step 3: Cross multiply
    325,826x = 455,186 × 455,186
  4. Step 4: Simplify right side
    325,826x = 207,194,294,596
  5. Step 5: Solve for x
    x = 207,194,294,596/325,826
  6. Step 6: Final answer
    x = 635,904.73

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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.