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Finding the Third Proportional to 231,763 and 558,144

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Solution

The third proportional to 231,763 and 558,144 is: 1,344,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,763 : 558,144 = 558,144 : x
  2. Step 2: Convert to fraction form
    231,763/558,144 = 558,144/x
  3. Step 3: Cross multiply
    231,763x = 558,144 × 558,144
  4. Step 4: Simplify right side
    231,763x = 311,524,724,736
  5. Step 5: Solve for x
    x = 311,524,724,736/231,763
  6. Step 6: Final answer
    x = 1,344,152.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.