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Finding the Third Proportional to 289,786.50 and 381,975.75

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Solution

The third proportional to 289,786.50 and 381,975.75 is: 503,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,786.50 : 381,975.75 = 381,975.75 : x
  2. Step 2: Convert to fraction form
    289,786.50/381,975.75 = 381,975.75/x
  3. Step 3: Cross multiply
    289,786.50x = 381,975.75 × 381,975.75
  4. Step 4: Simplify right side
    289,786.50x = 145,905,473,588.06
  5. Step 5: Solve for x
    x = 145,905,473,588.06/289,786.50
  6. Step 6: Final answer
    x = 503,493.00

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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.