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Finding the Third Proportional to 223,349 and 486,073

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Solution

The third proportional to 223,349 and 486,073 is: 1,057,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,349 : 486,073 = 486,073 : x
  2. Step 2: Convert to fraction form
    223,349/486,073 = 486,073/x
  3. Step 3: Cross multiply
    223,349x = 486,073 × 486,073
  4. Step 4: Simplify right side
    223,349x = 236,266,961,329
  5. Step 5: Solve for x
    x = 236,266,961,329/223,349
  6. Step 6: Final answer
    x = 1,057,837.56

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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.