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Finding the Third Proportional to 223,763 and 486,483

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Solution

The third proportional to 223,763 and 486,483 is: 1,057,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,763 : 486,483 = 486,483 : x
  2. Step 2: Convert to fraction form
    223,763/486,483 = 486,483/x
  3. Step 3: Cross multiply
    223,763x = 486,483 × 486,483
  4. Step 4: Simplify right side
    223,763x = 236,665,709,289
  5. Step 5: Solve for x
    x = 236,665,709,289/223,763
  6. Step 6: Final answer
    x = 1,057,662.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.