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Finding the Third Proportional to 325,190 and 485,337

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Solution

The third proportional to 325,190 and 485,337 is: 724,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,190 : 485,337 = 485,337 : x
  2. Step 2: Convert to fraction form
    325,190/485,337 = 485,337/x
  3. Step 3: Cross multiply
    325,190x = 485,337 × 485,337
  4. Step 4: Simplify right side
    325,190x = 235,552,003,569
  5. Step 5: Solve for x
    x = 235,552,003,569/325,190
  6. Step 6: Final answer
    x = 724,351.93

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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.