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Finding the Third Proportional to 222,715.50 and 485,631

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Solution

The third proportional to 222,715.50 and 485,631 is: 1,058,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,715.50 : 485,631 = 485,631 : x
  2. Step 2: Convert to fraction form
    222,715.50/485,631 = 485,631/x
  3. Step 3: Cross multiply
    222,715.50x = 485,631 × 485,631
  4. Step 4: Simplify right side
    222,715.50x = 235,837,468,161
  5. Step 5: Solve for x
    x = 235,837,468,161/222,715.50
  6. Step 6: Final answer
    x = 1,058,918.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.