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Finding the Third Proportional to 223,932 and 492,144

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Solution

The third proportional to 223,932 and 492,144 is: 1,081,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,932 : 492,144 = 492,144 : x
  2. Step 2: Convert to fraction form
    223,932/492,144 = 492,144/x
  3. Step 3: Cross multiply
    223,932x = 492,144 × 492,144
  4. Step 4: Simplify right side
    223,932x = 242,205,716,736
  5. Step 5: Solve for x
    x = 242,205,716,736/223,932
  6. Step 6: Final answer
    x = 1,081,603.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.