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Finding the Third Proportional to 381,524.06 and 590,485.69

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Solution

The third proportional to 381,524.06 and 590,485.69 is: 913,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,524.06 : 590,485.69 = 590,485.69 : x
  2. Step 2: Convert to fraction form
    381,524.06/590,485.69 = 590,485.69/x
  3. Step 3: Cross multiply
    381,524.06x = 590,485.69 × 590,485.69
  4. Step 4: Simplify right side
    381,524.06x = 348,673,347,142.35
  5. Step 5: Solve for x
    x = 348,673,347,142.35/381,524.06
  6. Step 6: Final answer
    x = 913,896.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.