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Finding the Third Proportional to 223,797 and 486,945

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Solution

The third proportional to 223,797 and 486,945 is: 1,059,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,797 : 486,945 = 486,945 : x
  2. Step 2: Convert to fraction form
    223,797/486,945 = 486,945/x
  3. Step 3: Cross multiply
    223,797x = 486,945 × 486,945
  4. Step 4: Simplify right side
    223,797x = 237,115,433,025
  5. Step 5: Solve for x
    x = 237,115,433,025/223,797
  6. Step 6: Final answer
    x = 1,059,511.22

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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.