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Finding the Third Proportional to 224,745 and 486,993

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Solution

The third proportional to 224,745 and 486,993 is: 1,055,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,745 : 486,993 = 486,993 : x
  2. Step 2: Convert to fraction form
    224,745/486,993 = 486,993/x
  3. Step 3: Cross multiply
    224,745x = 486,993 × 486,993
  4. Step 4: Simplify right side
    224,745x = 237,162,182,049
  5. Step 5: Solve for x
    x = 237,162,182,049/224,745
  6. Step 6: Final answer
    x = 1,055,250.09

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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.