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Finding the Third Proportional to 325,334 and 486,086

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Solution

The third proportional to 325,334 and 486,086 is: 726,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,334 : 486,086 = 486,086 : x
  2. Step 2: Convert to fraction form
    325,334/486,086 = 486,086/x
  3. Step 3: Cross multiply
    325,334x = 486,086 × 486,086
  4. Step 4: Simplify right side
    325,334x = 236,279,599,396
  5. Step 5: Solve for x
    x = 236,279,599,396/325,334
  6. Step 6: Final answer
    x = 726,267.77

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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.