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Finding the Third Proportional to 213,514 and 494,233

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Solution

The third proportional to 213,514 and 494,233 is: 1,144,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,514 : 494,233 = 494,233 : x
  2. Step 2: Convert to fraction form
    213,514/494,233 = 494,233/x
  3. Step 3: Cross multiply
    213,514x = 494,233 × 494,233
  4. Step 4: Simplify right side
    213,514x = 244,266,258,289
  5. Step 5: Solve for x
    x = 244,266,258,289/213,514
  6. Step 6: Final answer
    x = 1,144,029.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.