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Finding the Third Proportional to 223,933 and 492,146

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Solution

The third proportional to 223,933 and 492,146 is: 1,081,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,933 : 492,146 = 492,146 : x
  2. Step 2: Convert to fraction form
    223,933/492,146 = 492,146/x
  3. Step 3: Cross multiply
    223,933x = 492,146 × 492,146
  4. Step 4: Simplify right side
    223,933x = 242,207,685,316
  5. Step 5: Solve for x
    x = 242,207,685,316/223,933
  6. Step 6: Final answer
    x = 1,081,607.83

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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.