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Finding the Third Proportional to 289,485 and 381,523.50

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Solution

The third proportional to 289,485 and 381,523.50 is: 502,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,485 : 381,523.50 = 381,523.50 : x
  2. Step 2: Convert to fraction form
    289,485/381,523.50 = 381,523.50/x
  3. Step 3: Cross multiply
    289,485x = 381,523.50 × 381,523.50
  4. Step 4: Simplify right side
    289,485x = 145,560,181,052.25
  5. Step 5: Solve for x
    x = 145,560,181,052.25/289,485
  6. Step 6: Final answer
    x = 502,824.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.