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Finding the Third Proportional to 211,514 and 457,876

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Solution

The third proportional to 211,514 and 457,876 is: 991,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,514 : 457,876 = 457,876 : x
  2. Step 2: Convert to fraction form
    211,514/457,876 = 457,876/x
  3. Step 3: Cross multiply
    211,514x = 457,876 × 457,876
  4. Step 4: Simplify right side
    211,514x = 209,650,431,376
  5. Step 5: Solve for x
    x = 209,650,431,376/211,514
  6. Step 6: Final answer
    x = 991,189.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.