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Finding the Third Proportional to 381,646.50 and 504,616.50

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Solution

The third proportional to 381,646.50 and 504,616.50 is: 667,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,646.50 : 504,616.50 = 504,616.50 : x
  2. Step 2: Convert to fraction form
    381,646.50/504,616.50 = 504,616.50/x
  3. Step 3: Cross multiply
    381,646.50x = 504,616.50 × 504,616.50
  4. Step 4: Simplify right side
    381,646.50x = 254,637,812,072.25
  5. Step 5: Solve for x
    x = 254,637,812,072.25/381,646.50
  6. Step 6: Final answer
    x = 667,208.56

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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.